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Finding the Third Proportional to 81.23 and 106.64

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Solution

The third proportional to 81.23 and 106.64 is: 139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.23 : 106.64 = 106.64 : x
  2. Step 2: Convert to fraction form
    81.23/106.64 = 106.64/x
  3. Step 3: Cross multiply
    81.23x = 106.64 × 106.64
  4. Step 4: Simplify right side
    81.23x = 11,372.22
  5. Step 5: Solve for x
    x = 11,372.22/81.23
  6. Step 6: Final answer
    x = 139.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.