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Finding the Third Proportional to 66.47 and 97.17

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Solution

The third proportional to 66.47 and 97.17 is: 142.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.47 : 97.17 = 97.17 : x
  2. Step 2: Convert to fraction form
    66.47/97.17 = 97.17/x
  3. Step 3: Cross multiply
    66.47x = 97.17 × 97.17
  4. Step 4: Simplify right side
    66.47x = 9,442.37
  5. Step 5: Solve for x
    x = 9,442.37/66.47
  6. Step 6: Final answer
    x = 142.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.