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Finding the Third Proportional to 61,524 and 87,979

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Solution

The third proportional to 61,524 and 87,979 is: 125,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,524 : 87,979 = 87,979 : x
  2. Step 2: Convert to fraction form
    61,524/87,979 = 87,979/x
  3. Step 3: Cross multiply
    61,524x = 87,979 × 87,979
  4. Step 4: Simplify right side
    61,524x = 7,740,304,441
  5. Step 5: Solve for x
    x = 7,740,304,441/61,524
  6. Step 6: Final answer
    x = 125,809.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.