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Finding the Third Proportional to 77.25 and 118.13

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Solution

The third proportional to 77.25 and 118.13 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 118.13 = 118.13 : x
  2. Step 2: Convert to fraction form
    77.25/118.13 = 118.13/x
  3. Step 3: Cross multiply
    77.25x = 118.13 × 118.13
  4. Step 4: Simplify right side
    77.25x = 13,953.52
  5. Step 5: Solve for x
    x = 13,953.52/77.25
  6. Step 6: Final answer
    x = 180.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.