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Finding the Third Proportional to 75 and 123.38

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Solution

The third proportional to 75 and 123.38 is: 202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 123.38 = 123.38 : x
  2. Step 2: Convert to fraction form
    75/123.38 = 123.38/x
  3. Step 3: Cross multiply
    75x = 123.38 × 123.38
  4. Step 4: Simplify right side
    75x = 15,221.39
  5. Step 5: Solve for x
    x = 15,221.39/75
  6. Step 6: Final answer
    x = 202.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.