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Finding the Third Proportional to 149.38 and 251.94

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Solution

The third proportional to 149.38 and 251.94 is: 424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.38 : 251.94 = 251.94 : x
  2. Step 2: Convert to fraction form
    149.38/251.94 = 251.94/x
  3. Step 3: Cross multiply
    149.38x = 251.94 × 251.94
  4. Step 4: Simplify right side
    149.38x = 63,472.50
  5. Step 5: Solve for x
    x = 63,472.50/149.38
  6. Step 6: Final answer
    x = 424.92

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.