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Finding the Third Proportional to 261,709 and 392,551

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Solution

The third proportional to 261,709 and 392,551 is: 588,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,709 : 392,551 = 392,551 : x
  2. Step 2: Convert to fraction form
    261,709/392,551 = 392,551/x
  3. Step 3: Cross multiply
    261,709x = 392,551 × 392,551
  4. Step 4: Simplify right side
    261,709x = 154,096,287,601
  5. Step 5: Solve for x
    x = 154,096,287,601/261,709
  6. Step 6: Final answer
    x = 588,807.75

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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.