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Finding the Third Proportional to 674.13 and 1,429.19

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Solution

The third proportional to 674.13 and 1,429.19 is: 3,029.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.13 : 1,429.19 = 1,429.19 : x
  2. Step 2: Convert to fraction form
    674.13/1,429.19 = 1,429.19/x
  3. Step 3: Cross multiply
    674.13x = 1,429.19 × 1,429.19
  4. Step 4: Simplify right side
    674.13x = 2,042,576.91
  5. Step 5: Solve for x
    x = 2,042,576.91/674.13
  6. Step 6: Final answer
    x = 3,029.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.