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Finding the Third Proportional to 313,892 and 679,920

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Solution

The third proportional to 313,892 and 679,920 is: 1,472,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892 : 679,920 = 679,920 : x
  2. Step 2: Convert to fraction form
    313,892/679,920 = 679,920/x
  3. Step 3: Cross multiply
    313,892x = 679,920 × 679,920
  4. Step 4: Simplify right side
    313,892x = 462,291,206,400
  5. Step 5: Solve for x
    x = 462,291,206,400/313,892
  6. Step 6: Final answer
    x = 1,472,771.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.