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Finding the Third Proportional to 74.51 and 115.14

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Solution

The third proportional to 74.51 and 115.14 is: 177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.51 : 115.14 = 115.14 : x
  2. Step 2: Convert to fraction form
    74.51/115.14 = 115.14/x
  3. Step 3: Cross multiply
    74.51x = 115.14 × 115.14
  4. Step 4: Simplify right side
    74.51x = 13,256.46
  5. Step 5: Solve for x
    x = 13,256.46/74.51
  6. Step 6: Final answer
    x = 177.92

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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.