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Finding the Third Proportional to 136.81 and 200.69

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Solution

The third proportional to 136.81 and 200.69 is: 294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.81 : 200.69 = 200.69 : x
  2. Step 2: Convert to fraction form
    136.81/200.69 = 200.69/x
  3. Step 3: Cross multiply
    136.81x = 200.69 × 200.69
  4. Step 4: Simplify right side
    136.81x = 40,275.47
  5. Step 5: Solve for x
    x = 40,275.47/136.81
  6. Step 6: Final answer
    x = 294.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.