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Finding the Third Proportional to 392,260 and 587,863

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Solution

The third proportional to 392,260 and 587,863 is: 881,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,260 : 587,863 = 587,863 : x
  2. Step 2: Convert to fraction form
    392,260/587,863 = 587,863/x
  3. Step 3: Cross multiply
    392,260x = 587,863 × 587,863
  4. Step 4: Simplify right side
    392,260x = 345,582,906,769
  5. Step 5: Solve for x
    x = 345,582,906,769/392,260
  6. Step 6: Final answer
    x = 881,004.71

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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.