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Finding the Third Proportional to 74.67 and 115.38

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Solution

The third proportional to 74.67 and 115.38 is: 178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 115.38 = 115.38 : x
  2. Step 2: Convert to fraction form
    74.67/115.38 = 115.38/x
  3. Step 3: Cross multiply
    74.67x = 115.38 × 115.38
  4. Step 4: Simplify right side
    74.67x = 13,313.19
  5. Step 5: Solve for x
    x = 13,313.19/74.67
  6. Step 6: Final answer
    x = 178.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.