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Finding the Third Proportional to 66.47 and 102.68

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Solution

The third proportional to 66.47 and 102.68 is: 158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.47 : 102.68 = 102.68 : x
  2. Step 2: Convert to fraction form
    66.47/102.68 = 102.68/x
  3. Step 3: Cross multiply
    66.47x = 102.68 × 102.68
  4. Step 4: Simplify right side
    66.47x = 10,543.12
  5. Step 5: Solve for x
    x = 10,543.12/66.47
  6. Step 6: Final answer
    x = 158.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.