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Finding the Third Proportional to 120.75 and 324.13

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Solution

The third proportional to 120.75 and 324.13 is: 870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.75 : 324.13 = 324.13 : x
  2. Step 2: Convert to fraction form
    120.75/324.13 = 324.13/x
  3. Step 3: Cross multiply
    120.75x = 324.13 × 324.13
  4. Step 4: Simplify right side
    120.75x = 105,057.02
  5. Step 5: Solve for x
    x = 105,057.02/120.75
  6. Step 6: Final answer
    x = 870.04

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.