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Finding the Third Proportional to 149.53 and 240.09

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Solution

The third proportional to 149.53 and 240.09 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.53 : 240.09 = 240.09 : x
  2. Step 2: Convert to fraction form
    149.53/240.09 = 240.09/x
  3. Step 3: Cross multiply
    149.53x = 240.09 × 240.09
  4. Step 4: Simplify right side
    149.53x = 57,645.01
  5. Step 5: Solve for x
    x = 57,645.01/149.53
  6. Step 6: Final answer
    x = 385.50

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.