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Finding the Third Proportional to 317,984 and 673,864

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Solution

The third proportional to 317,984 and 673,864 is: 1,428,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,984 : 673,864 = 673,864 : x
  2. Step 2: Convert to fraction form
    317,984/673,864 = 673,864/x
  3. Step 3: Cross multiply
    317,984x = 673,864 × 673,864
  4. Step 4: Simplify right side
    317,984x = 454,092,690,496
  5. Step 5: Solve for x
    x = 454,092,690,496/317,984
  6. Step 6: Final answer
    x = 1,428,036.29

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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.