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Finding the Third Proportional to 66.38 and 89.72

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Solution

The third proportional to 66.38 and 89.72 is: 121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.38 : 89.72 = 89.72 : x
  2. Step 2: Convert to fraction form
    66.38/89.72 = 89.72/x
  3. Step 3: Cross multiply
    66.38x = 89.72 × 89.72
  4. Step 4: Simplify right side
    66.38x = 8,049.45
  5. Step 5: Solve for x
    x = 8,049.45/66.38
  6. Step 6: Final answer
    x = 121.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.