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Finding the Third Proportional to 77.13 and 113.41

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Solution

The third proportional to 77.13 and 113.41 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.13 : 113.41 = 113.41 : x
  2. Step 2: Convert to fraction form
    77.13/113.41 = 113.41/x
  3. Step 3: Cross multiply
    77.13x = 113.41 × 113.41
  4. Step 4: Simplify right side
    77.13x = 12,862.75
  5. Step 5: Solve for x
    x = 12,862.75/77.13
  6. Step 6: Final answer
    x = 166.76

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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.