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Finding the Third Proportional to 392,142 and 586,651

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Solution

The third proportional to 392,142 and 586,651 is: 877,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,142 : 586,651 = 586,651 : x
  2. Step 2: Convert to fraction form
    392,142/586,651 = 586,651/x
  3. Step 3: Cross multiply
    392,142x = 586,651 × 586,651
  4. Step 4: Simplify right side
    392,142x = 344,159,395,801
  5. Step 5: Solve for x
    x = 344,159,395,801/392,142
  6. Step 6: Final answer
    x = 877,639.72

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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.