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Finding the Third Proportional to 169.13 and 360.19

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Solution

The third proportional to 169.13 and 360.19 is: 767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.13 : 360.19 = 360.19 : x
  2. Step 2: Convert to fraction form
    169.13/360.19 = 360.19/x
  3. Step 3: Cross multiply
    169.13x = 360.19 × 360.19
  4. Step 4: Simplify right side
    169.13x = 129,735.04
  5. Step 5: Solve for x
    x = 129,735.04/169.13
  6. Step 6: Final answer
    x = 767.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.