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Finding the Third Proportional to 149.81 and 224.91

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Solution

The third proportional to 149.81 and 224.91 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.81 : 224.91 = 224.91 : x
  2. Step 2: Convert to fraction form
    149.81/224.91 = 224.91/x
  3. Step 3: Cross multiply
    149.81x = 224.91 × 224.91
  4. Step 4: Simplify right side
    149.81x = 50,582.82
  5. Step 5: Solve for x
    x = 50,582.82/149.81
  6. Step 6: Final answer
    x = 337.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.