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Finding the Third Proportional to 473,666,440,610 and 1,034,131,188,868

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Solution

The third proportional to 473,666,440,610 and 1,034,131,188,868 is: 2,257,764,587,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,666,440,610 : 1,034,131,188,868 = 1,034,131,188,868 : x
  2. Step 2: Convert to fraction form
    473,666,440,610/1,034,131,188,868 = 1,034,131,188,868/x
  3. Step 3: Cross multiply
    473,666,440,610x = 1,034,131,188,868 × 1,034,131,188,868
  4. Step 4: Simplify right side
    473,666,440,610x = 1,069,427,315,789,543,063,420,928
  5. Step 5: Solve for x
    x = 1,069,427,315,789,543,063,420,928/473,666,440,610
  6. Step 6: Final answer
    x = 2,257,764,587,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.