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Finding the Third Proportional to 102.56 and 149.81

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Solution

The third proportional to 102.56 and 149.81 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 149.81 = 149.81 : x
  2. Step 2: Convert to fraction form
    102.56/149.81 = 149.81/x
  3. Step 3: Cross multiply
    102.56x = 149.81 × 149.81
  4. Step 4: Simplify right side
    102.56x = 22,443.79
  5. Step 5: Solve for x
    x = 22,443.79/102.56
  6. Step 6: Final answer
    x = 218.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.