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Finding the Third Proportional to 124.56 and 254.18

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Solution

The third proportional to 124.56 and 254.18 is: 518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 254.18 = 254.18 : x
  2. Step 2: Convert to fraction form
    124.56/254.18 = 254.18/x
  3. Step 3: Cross multiply
    124.56x = 254.18 × 254.18
  4. Step 4: Simplify right side
    124.56x = 64,607.31
  5. Step 5: Solve for x
    x = 64,607.31/124.56
  6. Step 6: Final answer
    x = 518.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.