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Finding the Third Proportional to 317,977 and 673,850

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Solution

The third proportional to 317,977 and 673,850 is: 1,428,008.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,977 : 673,850 = 673,850 : x
  2. Step 2: Convert to fraction form
    317,977/673,850 = 673,850/x
  3. Step 3: Cross multiply
    317,977x = 673,850 × 673,850
  4. Step 4: Simplify right side
    317,977x = 454,073,822,500
  5. Step 5: Solve for x
    x = 454,073,822,500/317,977
  6. Step 6: Final answer
    x = 1,428,008.39

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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.