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Finding the Third Proportional to 57,732 and 86,979

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Solution

The third proportional to 57,732 and 86,979 is: 131,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732 : 86,979 = 86,979 : x
  2. Step 2: Convert to fraction form
    57,732/86,979 = 86,979/x
  3. Step 3: Cross multiply
    57,732x = 86,979 × 86,979
  4. Step 4: Simplify right side
    57,732x = 7,565,346,441
  5. Step 5: Solve for x
    x = 7,565,346,441/57,732
  6. Step 6: Final answer
    x = 131,042.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.