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Finding the Third Proportional to 101.50 and 137.13

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Solution

The third proportional to 101.50 and 137.13 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.50 : 137.13 = 137.13 : x
  2. Step 2: Convert to fraction form
    101.50/137.13 = 137.13/x
  3. Step 3: Cross multiply
    101.50x = 137.13 × 137.13
  4. Step 4: Simplify right side
    101.50x = 18,803.27
  5. Step 5: Solve for x
    x = 18,803.27/101.50
  6. Step 6: Final answer
    x = 185.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.