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Finding the Third Proportional to 45.12 and 106.39

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Solution

The third proportional to 45.12 and 106.39 is: 250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.12 : 106.39 = 106.39 : x
  2. Step 2: Convert to fraction form
    45.12/106.39 = 106.39/x
  3. Step 3: Cross multiply
    45.12x = 106.39 × 106.39
  4. Step 4: Simplify right side
    45.12x = 11,318.12
  5. Step 5: Solve for x
    x = 11,318.12/45.12
  6. Step 6: Final answer
    x = 250.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.