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Finding the Third Proportional to 34.49 and 50.80

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Solution

The third proportional to 34.49 and 50.80 is: 74.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.49 : 50.80 = 50.80 : x
  2. Step 2: Convert to fraction form
    34.49/50.80 = 50.80/x
  3. Step 3: Cross multiply
    34.49x = 50.80 × 50.80
  4. Step 4: Simplify right side
    34.49x = 2,580.72
  5. Step 5: Solve for x
    x = 2,580.72/34.49
  6. Step 6: Final answer
    x = 74.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.