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Finding the Third Proportional to 66.38 and 147.88

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Solution

The third proportional to 66.38 and 147.88 is: 329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.38 : 147.88 = 147.88 : x
  2. Step 2: Convert to fraction form
    66.38/147.88 = 147.88/x
  3. Step 3: Cross multiply
    66.38x = 147.88 × 147.88
  4. Step 4: Simplify right side
    66.38x = 21,867.02
  5. Step 5: Solve for x
    x = 21,867.02/66.38
  6. Step 6: Final answer
    x = 329.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.