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Finding the Third Proportional to 392,898,782 and 654,791,840

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Solution

The third proportional to 392,898,782 and 654,791,840 is: 1,091,253,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,898,782 : 654,791,840 = 654,791,840 : x
  2. Step 2: Convert to fraction form
    392,898,782/654,791,840 = 654,791,840/x
  3. Step 3: Cross multiply
    392,898,782x = 654,791,840 × 654,791,840
  4. Step 4: Simplify right side
    392,898,782x = 428,752,353,730,585,600
  5. Step 5: Solve for x
    x = 428,752,353,730,585,600/392,898,782
  6. Step 6: Final answer
    x = 1,091,253,965.07

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.