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Finding the Third Proportional to 313,904 and 683,850

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Solution

The third proportional to 313,904 and 683,850 is: 1,489,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904 : 683,850 = 683,850 : x
  2. Step 2: Convert to fraction form
    313,904/683,850 = 683,850/x
  3. Step 3: Cross multiply
    313,904x = 683,850 × 683,850
  4. Step 4: Simplify right side
    313,904x = 467,650,822,500
  5. Step 5: Solve for x
    x = 467,650,822,500/313,904
  6. Step 6: Final answer
    x = 1,489,789.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.