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Finding the Third Proportional to 181,290 and 392,711

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Solution

The third proportional to 181,290 and 392,711 is: 850,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,290 : 392,711 = 392,711 : x
  2. Step 2: Convert to fraction form
    181,290/392,711 = 392,711/x
  3. Step 3: Cross multiply
    181,290x = 392,711 × 392,711
  4. Step 4: Simplify right side
    181,290x = 154,221,929,521
  5. Step 5: Solve for x
    x = 154,221,929,521/181,290
  6. Step 6: Final answer
    x = 850,691.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.