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Finding the Third Proportional to 88.56 and 136.81

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Solution

The third proportional to 88.56 and 136.81 is: 211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.56 : 136.81 = 136.81 : x
  2. Step 2: Convert to fraction form
    88.56/136.81 = 136.81/x
  3. Step 3: Cross multiply
    88.56x = 136.81 × 136.81
  4. Step 4: Simplify right side
    88.56x = 18,717.66
  5. Step 5: Solve for x
    x = 18,717.66/88.56
  6. Step 6: Final answer
    x = 211.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.