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Finding the Third Proportional to 87 and 121.64

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Solution

The third proportional to 87 and 121.64 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87 : 121.64 = 121.64 : x
  2. Step 2: Convert to fraction form
    87/121.64 = 121.64/x
  3. Step 3: Cross multiply
    87x = 121.64 × 121.64
  4. Step 4: Simplify right side
    87x = 14,796.44
  5. Step 5: Solve for x
    x = 14,796.44/87
  6. Step 6: Final answer
    x = 170.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.