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Finding the Third Proportional to 125.44 and 248.56

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Solution

The third proportional to 125.44 and 248.56 is: 492.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.44 : 248.56 = 248.56 : x
  2. Step 2: Convert to fraction form
    125.44/248.56 = 248.56/x
  3. Step 3: Cross multiply
    125.44x = 248.56 × 248.56
  4. Step 4: Simplify right side
    125.44x = 61,783.32
  5. Step 5: Solve for x
    x = 61,783.32/125.44
  6. Step 6: Final answer
    x = 492.54

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.