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Finding the Third Proportional to 74.87 and 114.02

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Solution

The third proportional to 74.87 and 114.02 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.87 : 114.02 = 114.02 : x
  2. Step 2: Convert to fraction form
    74.87/114.02 = 114.02/x
  3. Step 3: Cross multiply
    74.87x = 114.02 × 114.02
  4. Step 4: Simplify right side
    74.87x = 13,001.68
  5. Step 5: Solve for x
    x = 13,001.68/74.87
  6. Step 6: Final answer
    x = 173.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.