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Finding the Third Proportional to 317,981 and 673,858

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Solution

The third proportional to 317,981 and 673,858 is: 1,428,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,981 : 673,858 = 673,858 : x
  2. Step 2: Convert to fraction form
    317,981/673,858 = 673,858/x
  3. Step 3: Cross multiply
    317,981x = 673,858 × 673,858
  4. Step 4: Simplify right side
    317,981x = 454,084,604,164
  5. Step 5: Solve for x
    x = 454,084,604,164/317,981
  6. Step 6: Final answer
    x = 1,428,024.33

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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.