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Finding the Third Proportional to 77.81 and 132.09

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Solution

The third proportional to 77.81 and 132.09 is: 224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.81 : 132.09 = 132.09 : x
  2. Step 2: Convert to fraction form
    77.81/132.09 = 132.09/x
  3. Step 3: Cross multiply
    77.81x = 132.09 × 132.09
  4. Step 4: Simplify right side
    77.81x = 17,448.76
  5. Step 5: Solve for x
    x = 17,448.76/77.81
  6. Step 6: Final answer
    x = 224.24

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.