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Finding the Third Proportional to 321,513 and 698,375

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Solution

The third proportional to 321,513 and 698,375 is: 1,516,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,513 : 698,375 = 698,375 : x
  2. Step 2: Convert to fraction form
    321,513/698,375 = 698,375/x
  3. Step 3: Cross multiply
    321,513x = 698,375 × 698,375
  4. Step 4: Simplify right side
    321,513x = 487,727,640,625
  5. Step 5: Solve for x
    x = 487,727,640,625/321,513
  6. Step 6: Final answer
    x = 1,516,976.42

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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.