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Finding the Third Proportional to 402,498,407.50 and 869,622,138.50

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Solution

The third proportional to 402,498,407.50 and 869,622,138.50 is: 1,878,871,194.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,498,407.50 : 869,622,138.50 = 869,622,138.50 : x
  2. Step 2: Convert to fraction form
    402,498,407.50/869,622,138.50 = 869,622,138.50/x
  3. Step 3: Cross multiply
    402,498,407.50x = 869,622,138.50 × 869,622,138.50
  4. Step 4: Simplify right side
    402,498,407.50x = 756,242,663,769,313,152
  5. Step 5: Solve for x
    x = 756,242,663,769,313,152/402,498,407.50
  6. Step 6: Final answer
    x = 1,878,871,194.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.