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Finding the Third Proportional to 137.53 and 199.78

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Solution

The third proportional to 137.53 and 199.78 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.53 : 199.78 = 199.78 : x
  2. Step 2: Convert to fraction form
    137.53/199.78 = 199.78/x
  3. Step 3: Cross multiply
    137.53x = 199.78 × 199.78
  4. Step 4: Simplify right side
    137.53x = 39,912.55
  5. Step 5: Solve for x
    x = 39,912.55/137.53
  6. Step 6: Final answer
    x = 290.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.