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Finding the Third Proportional to 317,982 and 673,872

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Solution

The third proportional to 317,982 and 673,872 is: 1,428,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,982 : 673,872 = 673,872 : x
  2. Step 2: Convert to fraction form
    317,982/673,872 = 673,872/x
  3. Step 3: Cross multiply
    317,982x = 673,872 × 673,872
  4. Step 4: Simplify right side
    317,982x = 454,103,472,384
  5. Step 5: Solve for x
    x = 454,103,472,384/317,982
  6. Step 6: Final answer
    x = 1,428,079.18

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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.