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Finding the Third Proportional to 74.81 and 115.73

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Solution

The third proportional to 74.81 and 115.73 is: 179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.81 : 115.73 = 115.73 : x
  2. Step 2: Convert to fraction form
    74.81/115.73 = 115.73/x
  3. Step 3: Cross multiply
    74.81x = 115.73 × 115.73
  4. Step 4: Simplify right side
    74.81x = 13,394.45
  5. Step 5: Solve for x
    x = 13,394.45/74.81
  6. Step 6: Final answer
    x = 179.04

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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.