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Finding the Third Proportional to 81.77 and 116.93

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Solution

The third proportional to 81.77 and 116.93 is: 167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.77 : 116.93 = 116.93 : x
  2. Step 2: Convert to fraction form
    81.77/116.93 = 116.93/x
  3. Step 3: Cross multiply
    81.77x = 116.93 × 116.93
  4. Step 4: Simplify right side
    81.77x = 13,672.55
  5. Step 5: Solve for x
    x = 13,672.55/81.77
  6. Step 6: Final answer
    x = 167.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.