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Finding the Third Proportional to 31.78 and 46.97

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Solution

The third proportional to 31.78 and 46.97 is: 69.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.78 : 46.97 = 46.97 : x
  2. Step 2: Convert to fraction form
    31.78/46.97 = 46.97/x
  3. Step 3: Cross multiply
    31.78x = 46.97 × 46.97
  4. Step 4: Simplify right side
    31.78x = 2,206.06
  5. Step 5: Solve for x
    x = 2,206.06/31.78
  6. Step 6: Final answer
    x = 69.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.