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Finding the Third Proportional to 394,403,376 and 615,481,536

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Solution

The third proportional to 394,403,376 and 615,481,536 is: 960,482,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,403,376 : 615,481,536 = 615,481,536 : x
  2. Step 2: Convert to fraction form
    394,403,376/615,481,536 = 615,481,536/x
  3. Step 3: Cross multiply
    394,403,376x = 615,481,536 × 615,481,536
  4. Step 4: Simplify right side
    394,403,376x = 378,817,521,156,919,296
  5. Step 5: Solve for x
    x = 378,817,521,156,919,296/394,403,376
  6. Step 6: Final answer
    x = 960,482,450.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.