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Finding the Third Proportional to 67.78 and 145.97

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Solution

The third proportional to 67.78 and 145.97 is: 314.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.78 : 145.97 = 145.97 : x
  2. Step 2: Convert to fraction form
    67.78/145.97 = 145.97/x
  3. Step 3: Cross multiply
    67.78x = 145.97 × 145.97
  4. Step 4: Simplify right side
    67.78x = 21,306.88
  5. Step 5: Solve for x
    x = 21,306.88/67.78
  6. Step 6: Final answer
    x = 314.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.