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Finding the Third Proportional to 124.12 and 245.12

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Solution

The third proportional to 124.12 and 245.12 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.12 : 245.12 = 245.12 : x
  2. Step 2: Convert to fraction form
    124.12/245.12 = 245.12/x
  3. Step 3: Cross multiply
    124.12x = 245.12 × 245.12
  4. Step 4: Simplify right side
    124.12x = 60,084.35
  5. Step 5: Solve for x
    x = 60,084.35/124.12
  6. Step 6: Final answer
    x = 484.09

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.