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Finding the Third Proportional to 126 and 280.62

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Solution

The third proportional to 126 and 280.62 is: 624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126 : 280.62 = 280.62 : x
  2. Step 2: Convert to fraction form
    126/280.62 = 280.62/x
  3. Step 3: Cross multiply
    126x = 280.62 × 280.62
  4. Step 4: Simplify right side
    126x = 78,746.01
  5. Step 5: Solve for x
    x = 78,746.01/126
  6. Step 6: Final answer
    x = 624.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.