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Finding the Third Proportional to 76.78 and 137.74

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Solution

The third proportional to 76.78 and 137.74 is: 247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.78 : 137.74 = 137.74 : x
  2. Step 2: Convert to fraction form
    76.78/137.74 = 137.74/x
  3. Step 3: Cross multiply
    76.78x = 137.74 × 137.74
  4. Step 4: Simplify right side
    76.78x = 18,972.91
  5. Step 5: Solve for x
    x = 18,972.91/76.78
  6. Step 6: Final answer
    x = 247.10

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.