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Finding the Third Proportional to 273.94 and 409.91

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Solution

The third proportional to 273.94 and 409.91 is: 613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 409.91 = 409.91 : x
  2. Step 2: Convert to fraction form
    273.94/409.91 = 409.91/x
  3. Step 3: Cross multiply
    273.94x = 409.91 × 409.91
  4. Step 4: Simplify right side
    273.94x = 168,023.13
  5. Step 5: Solve for x
    x = 168,023.13/273.94
  6. Step 6: Final answer
    x = 613.36

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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.