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Finding the Third Proportional to 149.50 and 229.24

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Solution

The third proportional to 149.50 and 229.24 is: 351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.50 : 229.24 = 229.24 : x
  2. Step 2: Convert to fraction form
    149.50/229.24 = 229.24/x
  3. Step 3: Cross multiply
    149.50x = 229.24 × 229.24
  4. Step 4: Simplify right side
    149.50x = 52,549.29
  5. Step 5: Solve for x
    x = 52,549.29/149.50
  6. Step 6: Final answer
    x = 351.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.