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Finding the Third Proportional to 360,198.50 and 783,821

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Solution

The third proportional to 360,198.50 and 783,821 is: 1,705,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,198.50 : 783,821 = 783,821 : x
  2. Step 2: Convert to fraction form
    360,198.50/783,821 = 783,821/x
  3. Step 3: Cross multiply
    360,198.50x = 783,821 × 783,821
  4. Step 4: Simplify right side
    360,198.50x = 614,375,360,041
  5. Step 5: Solve for x
    x = 614,375,360,041/360,198.50
  6. Step 6: Final answer
    x = 1,705,657.74

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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.