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Finding the Third Proportional to 34.56 and 49.11

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Solution

The third proportional to 34.56 and 49.11 is: 69.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.56 : 49.11 = 49.11 : x
  2. Step 2: Convert to fraction form
    34.56/49.11 = 49.11/x
  3. Step 3: Cross multiply
    34.56x = 49.11 × 49.11
  4. Step 4: Simplify right side
    34.56x = 2,412.11
  5. Step 5: Solve for x
    x = 2,412.11/34.56
  6. Step 6: Final answer
    x = 69.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.