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Finding the Third Proportional to 239,533 and 521,587

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Solution

The third proportional to 239,533 and 521,587 is: 1,135,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,533 : 521,587 = 521,587 : x
  2. Step 2: Convert to fraction form
    239,533/521,587 = 521,587/x
  3. Step 3: Cross multiply
    239,533x = 521,587 × 521,587
  4. Step 4: Simplify right side
    239,533x = 272,052,998,569
  5. Step 5: Solve for x
    x = 272,052,998,569/239,533
  6. Step 6: Final answer
    x = 1,135,764.17

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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.