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Finding the Third Proportional to 88.48 and 136.67

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Solution

The third proportional to 88.48 and 136.67 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.48 : 136.67 = 136.67 : x
  2. Step 2: Convert to fraction form
    88.48/136.67 = 136.67/x
  3. Step 3: Cross multiply
    88.48x = 136.67 × 136.67
  4. Step 4: Simplify right side
    88.48x = 18,679.20
  5. Step 5: Solve for x
    x = 18,679.20/88.48
  6. Step 6: Final answer
    x = 211.10

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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.