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Finding the Third Proportional to 273.56 and 409.28

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Solution

The third proportional to 273.56 and 409.28 is: 612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.56 : 409.28 = 409.28 : x
  2. Step 2: Convert to fraction form
    273.56/409.28 = 409.28/x
  3. Step 3: Cross multiply
    273.56x = 409.28 × 409.28
  4. Step 4: Simplify right side
    273.56x = 167,511.14
  5. Step 5: Solve for x
    x = 167,511.14/273.56
  6. Step 6: Final answer
    x = 612.33

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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.