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Finding the Third Proportional to 100.69 and 133.19

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Solution

The third proportional to 100.69 and 133.19 is: 176.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 133.19 = 133.19 : x
  2. Step 2: Convert to fraction form
    100.69/133.19 = 133.19/x
  3. Step 3: Cross multiply
    100.69x = 133.19 × 133.19
  4. Step 4: Simplify right side
    100.69x = 17,738.91
  5. Step 5: Solve for x
    x = 17,738.91/100.69
  6. Step 6: Final answer
    x = 176.18

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.