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Finding the Third Proportional to 315,107,730 and 506,290,419

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Solution

The third proportional to 315,107,730 and 506,290,419 is: 813,467,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,107,730 : 506,290,419 = 506,290,419 : x
  2. Step 2: Convert to fraction form
    315,107,730/506,290,419 = 506,290,419/x
  3. Step 3: Cross multiply
    315,107,730x = 506,290,419 × 506,290,419
  4. Step 4: Simplify right side
    315,107,730x = 256,329,988,371,195,552
  5. Step 5: Solve for x
    x = 256,329,988,371,195,552/315,107,730
  6. Step 6: Final answer
    x = 813,467,788.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.