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Finding the Third Proportional to 74.25 and 114.75

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Solution

The third proportional to 74.25 and 114.75 is: 177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 114.75 = 114.75 : x
  2. Step 2: Convert to fraction form
    74.25/114.75 = 114.75/x
  3. Step 3: Cross multiply
    74.25x = 114.75 × 114.75
  4. Step 4: Simplify right side
    74.25x = 13,167.56
  5. Step 5: Solve for x
    x = 13,167.56/74.25
  6. Step 6: Final answer
    x = 177.34

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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.