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Finding the Third Proportional to 239,650 and 521,581

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Solution

The third proportional to 239,650 and 521,581 is: 1,135,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,650 : 521,581 = 521,581 : x
  2. Step 2: Convert to fraction form
    239,650/521,581 = 521,581/x
  3. Step 3: Cross multiply
    239,650x = 521,581 × 521,581
  4. Step 4: Simplify right side
    239,650x = 272,046,739,561
  5. Step 5: Solve for x
    x = 272,046,739,561/239,650
  6. Step 6: Final answer
    x = 1,135,183.56

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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.