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Finding the Third Proportional to 67.78 and 94.78

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Solution

The third proportional to 67.78 and 94.78 is: 132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 94.78 = 94.78 : x
  2. Step 2: Convert to fraction form
    67.78/94.78 = 94.78/x
  3. Step 3: Cross multiply
    67.78x = 94.78 × 94.78
  4. Step 4: Simplify right side
    67.78x = 8,983.49
  5. Step 5: Solve for x
    x = 8,983.49/67.78
  6. Step 6: Final answer
    x = 132.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.