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Finding the Third Proportional to 89.75 and 137.19

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Solution

The third proportional to 89.75 and 137.19 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.75 : 137.19 = 137.19 : x
  2. Step 2: Convert to fraction form
    89.75/137.19 = 137.19/x
  3. Step 3: Cross multiply
    89.75x = 137.19 × 137.19
  4. Step 4: Simplify right side
    89.75x = 18,820.41
  5. Step 5: Solve for x
    x = 18,820.41/89.75
  6. Step 6: Final answer
    x = 209.70

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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.