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Finding the Third Proportional to 239,632 and 521,424

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Solution

The third proportional to 239,632 and 521,424 is: 1,134,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,632 : 521,424 = 521,424 : x
  2. Step 2: Convert to fraction form
    239,632/521,424 = 521,424/x
  3. Step 3: Cross multiply
    239,632x = 521,424 × 521,424
  4. Step 4: Simplify right side
    239,632x = 271,882,987,776
  5. Step 5: Solve for x
    x = 271,882,987,776/239,632
  6. Step 6: Final answer
    x = 1,134,585.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.