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Finding the Third Proportional to 34.78 and 50.34

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Solution

The third proportional to 34.78 and 50.34 is: 72.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.78 : 50.34 = 50.34 : x
  2. Step 2: Convert to fraction form
    34.78/50.34 = 50.34/x
  3. Step 3: Cross multiply
    34.78x = 50.34 × 50.34
  4. Step 4: Simplify right side
    34.78x = 2,534.49
  5. Step 5: Solve for x
    x = 2,534.49/34.78
  6. Step 6: Final answer
    x = 72.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.