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Finding the Third Proportional to 81.84 and 114.66

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Solution

The third proportional to 81.84 and 114.66 is: 160.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 114.66 = 114.66 : x
  2. Step 2: Convert to fraction form
    81.84/114.66 = 114.66/x
  3. Step 3: Cross multiply
    81.84x = 114.66 × 114.66
  4. Step 4: Simplify right side
    81.84x = 13,146.06
  5. Step 5: Solve for x
    x = 13,146.06/81.84
  6. Step 6: Final answer
    x = 160.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.