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Finding the Third Proportional to 391,612,711.50 and 587,418,905.25

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Solution

The third proportional to 391,612,711.50 and 587,418,905.25 is: 881,128,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,612,711.50 : 587,418,905.25 = 587,418,905.25 : x
  2. Step 2: Convert to fraction form
    391,612,711.50/587,418,905.25 = 587,418,905.25/x
  3. Step 3: Cross multiply
    391,612,711.50x = 587,418,905.25 × 587,418,905.25
  4. Step 4: Simplify right side
    391,612,711.50x = 345,060,970,245,108,480
  5. Step 5: Solve for x
    x = 345,060,970,245,108,480/391,612,711.50
  6. Step 6: Final answer
    x = 881,128,114.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.