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Finding the Third Proportional to 321,963.75 and 699,288.75

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Solution

The third proportional to 321,963.75 and 699,288.75 is: 1,518,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,963.75 : 699,288.75 = 699,288.75 : x
  2. Step 2: Convert to fraction form
    321,963.75/699,288.75 = 699,288.75/x
  3. Step 3: Cross multiply
    321,963.75x = 699,288.75 × 699,288.75
  4. Step 4: Simplify right side
    321,963.75x = 489,004,755,876.56
  5. Step 5: Solve for x
    x = 489,004,755,876.56/321,963.75
  6. Step 6: Final answer
    x = 1,518,819.30

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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.