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Finding the Third Proportional to 67.78 and 88.78

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Solution

The third proportional to 67.78 and 88.78 is: 116.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 88.78 = 88.78 : x
  2. Step 2: Convert to fraction form
    67.78/88.78 = 88.78/x
  3. Step 3: Cross multiply
    67.78x = 88.78 × 88.78
  4. Step 4: Simplify right side
    67.78x = 7,882.11
  5. Step 5: Solve for x
    x = 7,882.11/67.78
  6. Step 6: Final answer
    x = 116.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.