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Finding the Third Proportional to 273.84 and 411.05

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Solution

The third proportional to 273.84 and 411.05 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.84 : 411.05 = 411.05 : x
  2. Step 2: Convert to fraction form
    273.84/411.05 = 411.05/x
  3. Step 3: Cross multiply
    273.84x = 411.05 × 411.05
  4. Step 4: Simplify right side
    273.84x = 168,959.53
  5. Step 5: Solve for x
    x = 168,959.53/273.84
  6. Step 6: Final answer
    x = 616.99

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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.