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Finding the Third Proportional to 273.80 and 411.96

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Solution

The third proportional to 273.80 and 411.96 is: 619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.80 : 411.96 = 411.96 : x
  2. Step 2: Convert to fraction form
    273.80/411.96 = 411.96/x
  3. Step 3: Cross multiply
    273.80x = 411.96 × 411.96
  4. Step 4: Simplify right side
    273.80x = 169,711.81
  5. Step 5: Solve for x
    x = 169,711.81/273.80
  6. Step 6: Final answer
    x = 619.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.