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Finding the Third Proportional to 321,645.38 and 699,315.75

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Solution

The third proportional to 321,645.38 and 699,315.75 is: 1,520,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,645.38 : 699,315.75 = 699,315.75 : x
  2. Step 2: Convert to fraction form
    321,645.38/699,315.75 = 699,315.75/x
  3. Step 3: Cross multiply
    321,645.38x = 699,315.75 × 699,315.75
  4. Step 4: Simplify right side
    321,645.38x = 489,042,518,198.06
  5. Step 5: Solve for x
    x = 489,042,518,198.06/321,645.38
  6. Step 6: Final answer
    x = 1,520,440.08

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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.