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Finding the Third Proportional to 42.76 and 87.29

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Solution

The third proportional to 42.76 and 87.29 is: 178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.76 : 87.29 = 87.29 : x
  2. Step 2: Convert to fraction form
    42.76/87.29 = 87.29/x
  3. Step 3: Cross multiply
    42.76x = 87.29 × 87.29
  4. Step 4: Simplify right side
    42.76x = 7,620.10
  5. Step 5: Solve for x
    x = 7,620.10/42.76
  6. Step 6: Final answer
    x = 178.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.