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Finding the Third Proportional to 843,978,202,622.50 and 1,138,724,756,811.40

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Solution

The third proportional to 843,978,202,622.50 and 1,138,724,756,811.40 is: 1,536,407,063,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,978,202,622.50 : 1,138,724,756,811.40 = 1,138,724,756,811.40 : x
  2. Step 2: Convert to fraction form
    843,978,202,622.50/1,138,724,756,811.40 = 1,138,724,756,811.40/x
  3. Step 3: Cross multiply
    843,978,202,622.50x = 1,138,724,756,811.40 × 1,138,724,756,811.40
  4. Step 4: Simplify right side
    843,978,202,622.50x = 1,296,694,071,775,181,901,135,872
  5. Step 5: Solve for x
    x = 1,296,694,071,775,181,901,135,872/843,978,202,622.50
  6. Step 6: Final answer
    x = 1,536,407,063,293.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.