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Finding the Third Proportional to 338,747,728.50 and 517,857,862.50

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Solution

The third proportional to 338,747,728.50 and 517,857,862.50 is: 791,671,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,747,728.50 : 517,857,862.50 = 517,857,862.50 : x
  2. Step 2: Convert to fraction form
    338,747,728.50/517,857,862.50 = 517,857,862.50/x
  3. Step 3: Cross multiply
    338,747,728.50x = 517,857,862.50 × 517,857,862.50
  4. Step 4: Simplify right side
    338,747,728.50x = 268,176,765,753,068,896
  5. Step 5: Solve for x
    x = 268,176,765,753,068,896/338,747,728.50
  6. Step 6: Final answer
    x = 791,671,037.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.