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Finding the Third Proportional to 77.13 and 114.54

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Solution

The third proportional to 77.13 and 114.54 is: 170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.13 : 114.54 = 114.54 : x
  2. Step 2: Convert to fraction form
    77.13/114.54 = 114.54/x
  3. Step 3: Cross multiply
    77.13x = 114.54 × 114.54
  4. Step 4: Simplify right side
    77.13x = 13,119.20
  5. Step 5: Solve for x
    x = 13,119.20/77.13
  6. Step 6: Final answer
    x = 170.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.