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Finding the Third Proportional to 313,864 and 679,934

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Solution

The third proportional to 313,864 and 679,934 is: 1,472,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,864 : 679,934 = 679,934 : x
  2. Step 2: Convert to fraction form
    313,864/679,934 = 679,934/x
  3. Step 3: Cross multiply
    313,864x = 679,934 × 679,934
  4. Step 4: Simplify right side
    313,864x = 462,310,244,356
  5. Step 5: Solve for x
    x = 462,310,244,356/313,864
  6. Step 6: Final answer
    x = 1,472,963.59

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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.