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Finding the Third Proportional to 88.75 and 136.23

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Solution

The third proportional to 88.75 and 136.23 is: 209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.75 : 136.23 = 136.23 : x
  2. Step 2: Convert to fraction form
    88.75/136.23 = 136.23/x
  3. Step 3: Cross multiply
    88.75x = 136.23 × 136.23
  4. Step 4: Simplify right side
    88.75x = 18,558.74
  5. Step 5: Solve for x
    x = 18,558.74/88.75
  6. Step 6: Final answer
    x = 209.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.