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Finding the Third Proportional to 57,088.50 and 86,979

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Solution

The third proportional to 57,088.50 and 86,979 is: 132,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,088.50 : 86,979 = 86,979 : x
  2. Step 2: Convert to fraction form
    57,088.50/86,979 = 86,979/x
  3. Step 3: Cross multiply
    57,088.50x = 86,979 × 86,979
  4. Step 4: Simplify right side
    57,088.50x = 7,565,346,441
  5. Step 5: Solve for x
    x = 7,565,346,441/57,088.50
  6. Step 6: Final answer
    x = 132,519.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.