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Finding the Third Proportional to 87 and 103.75

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Solution

The third proportional to 87 and 103.75 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 103.75 = 103.75 : x
  2. Step 2: Convert to fraction form
    87/103.75 = 103.75/x
  3. Step 3: Cross multiply
    87x = 103.75 × 103.75
  4. Step 4: Simplify right side
    87x = 10,764.06
  5. Step 5: Solve for x
    x = 10,764.06/87
  6. Step 6: Final answer
    x = 123.72

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.