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Finding the Third Proportional to 303,834.80 and 663,729.19

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Solution

The third proportional to 303,834.80 and 663,729.19 is: 1,449,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,834.80 : 663,729.19 = 663,729.19 : x
  2. Step 2: Convert to fraction form
    303,834.80/663,729.19 = 663,729.19/x
  3. Step 3: Cross multiply
    303,834.80x = 663,729.19 × 663,729.19
  4. Step 4: Simplify right side
    303,834.80x = 440,536,434,339.41
  5. Step 5: Solve for x
    x = 440,536,434,339.41/303,834.80
  6. Step 6: Final answer
    x = 1,449,920.94

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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.