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Finding the Third Proportional to 88.06 and 132.69

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Solution

The third proportional to 88.06 and 132.69 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.06 : 132.69 = 132.69 : x
  2. Step 2: Convert to fraction form
    88.06/132.69 = 132.69/x
  3. Step 3: Cross multiply
    88.06x = 132.69 × 132.69
  4. Step 4: Simplify right side
    88.06x = 17,605.97
  5. Step 5: Solve for x
    x = 17,605.97/88.06
  6. Step 6: Final answer
    x = 199.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.