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Finding the Third Proportional to 317,594,757.50 and 687,951,448

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Solution

The third proportional to 317,594,757.50 and 687,951,448 is: 1,490,192,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,594,757.50 : 687,951,448 = 687,951,448 : x
  2. Step 2: Convert to fraction form
    317,594,757.50/687,951,448 = 687,951,448/x
  3. Step 3: Cross multiply
    317,594,757.50x = 687,951,448 × 687,951,448
  4. Step 4: Simplify right side
    317,594,757.50x = 473,277,194,805,296,704
  5. Step 5: Solve for x
    x = 473,277,194,805,296,704/317,594,757.50
  6. Step 6: Final answer
    x = 1,490,192,087.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.