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Finding the Third Proportional to 133.84 and 209.78

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Solution

The third proportional to 133.84 and 209.78 is: 328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.84 : 209.78 = 209.78 : x
  2. Step 2: Convert to fraction form
    133.84/209.78 = 209.78/x
  3. Step 3: Cross multiply
    133.84x = 209.78 × 209.78
  4. Step 4: Simplify right side
    133.84x = 44,006.53
  5. Step 5: Solve for x
    x = 44,006.53/133.84
  6. Step 6: Final answer
    x = 328.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.