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Finding the Third Proportional to 273.66 and 324.91

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Solution

The third proportional to 273.66 and 324.91 is: 385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.66 : 324.91 = 324.91 : x
  2. Step 2: Convert to fraction form
    273.66/324.91 = 324.91/x
  3. Step 3: Cross multiply
    273.66x = 324.91 × 324.91
  4. Step 4: Simplify right side
    273.66x = 105,569.15
  5. Step 5: Solve for x
    x = 105,569.15/273.66
  6. Step 6: Final answer
    x = 385.77

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.