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Finding the Third Proportional to 77.06 and 135.42

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Solution

The third proportional to 77.06 and 135.42 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 135.42 = 135.42 : x
  2. Step 2: Convert to fraction form
    77.06/135.42 = 135.42/x
  3. Step 3: Cross multiply
    77.06x = 135.42 × 135.42
  4. Step 4: Simplify right side
    77.06x = 18,339.08
  5. Step 5: Solve for x
    x = 18,339.08/77.06
  6. Step 6: Final answer
    x = 237.98

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.