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Finding the Third Proportional to 66.16 and 135.49

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Solution

The third proportional to 66.16 and 135.49 is: 277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.16 : 135.49 = 135.49 : x
  2. Step 2: Convert to fraction form
    66.16/135.49 = 135.49/x
  3. Step 3: Cross multiply
    66.16x = 135.49 × 135.49
  4. Step 4: Simplify right side
    66.16x = 18,358.13
  5. Step 5: Solve for x
    x = 18,358.13/66.16
  6. Step 6: Final answer
    x = 277.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.