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Finding the Third Proportional to 321,121.50 and 699,454.50

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Solution

The third proportional to 321,121.50 and 699,454.50 is: 1,523,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,121.50 : 699,454.50 = 699,454.50 : x
  2. Step 2: Convert to fraction form
    321,121.50/699,454.50 = 699,454.50/x
  3. Step 3: Cross multiply
    321,121.50x = 699,454.50 × 699,454.50
  4. Step 4: Simplify right side
    321,121.50x = 489,236,597,570.25
  5. Step 5: Solve for x
    x = 489,236,597,570.25/321,121.50
  6. Step 6: Final answer
    x = 1,523,524.89

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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.