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Finding the Third Proportional to 392,520,704 and 856,337,564

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Solution

The third proportional to 392,520,704 and 856,337,564 is: 1,868,217,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,520,704 : 856,337,564 = 856,337,564 : x
  2. Step 2: Convert to fraction form
    392,520,704/856,337,564 = 856,337,564/x
  3. Step 3: Cross multiply
    392,520,704x = 856,337,564 × 856,337,564
  4. Step 4: Simplify right side
    392,520,704x = 733,314,023,517,454,080
  5. Step 5: Solve for x
    x = 733,314,023,517,454,080/392,520,704
  6. Step 6: Final answer
    x = 1,868,217,436.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.