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Finding the Third Proportional to 66.48 and 97.79

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Solution

The third proportional to 66.48 and 97.79 is: 143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.48 : 97.79 = 97.79 : x
  2. Step 2: Convert to fraction form
    66.48/97.79 = 97.79/x
  3. Step 3: Cross multiply
    66.48x = 97.79 × 97.79
  4. Step 4: Simplify right side
    66.48x = 9,562.70
  5. Step 5: Solve for x
    x = 9,562.70/66.48
  6. Step 6: Final answer
    x = 143.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.