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Finding the Third Proportional to 313,142.25 and 698,001

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Solution

The third proportional to 313,142.25 and 698,001 is: 1,555,859.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,142.25 : 698,001 = 698,001 : x
  2. Step 2: Convert to fraction form
    313,142.25/698,001 = 698,001/x
  3. Step 3: Cross multiply
    313,142.25x = 698,001 × 698,001
  4. Step 4: Simplify right side
    313,142.25x = 487,205,396,001
  5. Step 5: Solve for x
    x = 487,205,396,001/313,142.25
  6. Step 6: Final answer
    x = 1,555,859.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.