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Finding the Third Proportional to 135.49 and 209.71

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Solution

The third proportional to 135.49 and 209.71 is: 324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.49 : 209.71 = 209.71 : x
  2. Step 2: Convert to fraction form
    135.49/209.71 = 209.71/x
  3. Step 3: Cross multiply
    135.49x = 209.71 × 209.71
  4. Step 4: Simplify right side
    135.49x = 43,977.04
  5. Step 5: Solve for x
    x = 43,977.04/135.49
  6. Step 6: Final answer
    x = 324.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.