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Finding the Third Proportional to 168.81 and 260.69

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Solution

The third proportional to 168.81 and 260.69 is: 402.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.81 : 260.69 = 260.69 : x
  2. Step 2: Convert to fraction form
    168.81/260.69 = 260.69/x
  3. Step 3: Cross multiply
    168.81x = 260.69 × 260.69
  4. Step 4: Simplify right side
    168.81x = 67,957.97
  5. Step 5: Solve for x
    x = 67,957.97/168.81
  6. Step 6: Final answer
    x = 402.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.