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Finding the Third Proportional to 66.14 and 85.57

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Solution

The third proportional to 66.14 and 85.57 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.14 : 85.57 = 85.57 : x
  2. Step 2: Convert to fraction form
    66.14/85.57 = 85.57/x
  3. Step 3: Cross multiply
    66.14x = 85.57 × 85.57
  4. Step 4: Simplify right side
    66.14x = 7,322.28
  5. Step 5: Solve for x
    x = 7,322.28/66.14
  6. Step 6: Final answer
    x = 110.71

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.