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Finding the Third Proportional to 57.80 and 124.17

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Solution

The third proportional to 57.80 and 124.17 is: 266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.80 : 124.17 = 124.17 : x
  2. Step 2: Convert to fraction form
    57.80/124.17 = 124.17/x
  3. Step 3: Cross multiply
    57.80x = 124.17 × 124.17
  4. Step 4: Simplify right side
    57.80x = 15,418.65
  5. Step 5: Solve for x
    x = 15,418.65/57.80
  6. Step 6: Final answer
    x = 266.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.