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Finding the Third Proportional to 261,892 and 392,405

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Solution

The third proportional to 261,892 and 392,405 is: 587,958.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892 : 392,405 = 392,405 : x
  2. Step 2: Convert to fraction form
    261,892/392,405 = 392,405/x
  3. Step 3: Cross multiply
    261,892x = 392,405 × 392,405
  4. Step 4: Simplify right side
    261,892x = 153,981,684,025
  5. Step 5: Solve for x
    x = 153,981,684,025/261,892
  6. Step 6: Final answer
    x = 587,958.72

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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.