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Finding the Third Proportional to 125.81 and 248.19

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Solution

The third proportional to 125.81 and 248.19 is: 489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.81 : 248.19 = 248.19 : x
  2. Step 2: Convert to fraction form
    125.81/248.19 = 248.19/x
  3. Step 3: Cross multiply
    125.81x = 248.19 × 248.19
  4. Step 4: Simplify right side
    125.81x = 61,597.04
  5. Step 5: Solve for x
    x = 61,597.04/125.81
  6. Step 6: Final answer
    x = 489.59

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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.