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Finding the Third Proportional to 40.22 and 87.14

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Solution

The third proportional to 40.22 and 87.14 is: 188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.22 : 87.14 = 87.14 : x
  2. Step 2: Convert to fraction form
    40.22/87.14 = 87.14/x
  3. Step 3: Cross multiply
    40.22x = 87.14 × 87.14
  4. Step 4: Simplify right side
    40.22x = 7,593.49
  5. Step 5: Solve for x
    x = 7,593.49/40.22
  6. Step 6: Final answer
    x = 188.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.