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Finding the Third Proportional to 34.97 and 53.20

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Solution

The third proportional to 34.97 and 53.20 is: 80.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.97 : 53.20 = 53.20 : x
  2. Step 2: Convert to fraction form
    34.97/53.20 = 53.20/x
  3. Step 3: Cross multiply
    34.97x = 53.20 × 53.20
  4. Step 4: Simplify right side
    34.97x = 2,830.57
  5. Step 5: Solve for x
    x = 2,830.57/34.97
  6. Step 6: Final answer
    x = 80.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.