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Finding the Third Proportional to 399,418.50 and 868,821

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Solution

The third proportional to 399,418.50 and 868,821 is: 1,889,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,418.50 : 868,821 = 868,821 : x
  2. Step 2: Convert to fraction form
    399,418.50/868,821 = 868,821/x
  3. Step 3: Cross multiply
    399,418.50x = 868,821 × 868,821
  4. Step 4: Simplify right side
    399,418.50x = 754,849,930,041
  5. Step 5: Solve for x
    x = 754,849,930,041/399,418.50
  6. Step 6: Final answer
    x = 1,889,872.23

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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.