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Finding the Third Proportional to 385,169.25 and 858,851.25

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Solution

The third proportional to 385,169.25 and 858,851.25 is: 1,915,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,169.25 : 858,851.25 = 858,851.25 : x
  2. Step 2: Convert to fraction form
    385,169.25/858,851.25 = 858,851.25/x
  3. Step 3: Cross multiply
    385,169.25x = 858,851.25 × 858,851.25
  4. Step 4: Simplify right side
    385,169.25x = 737,625,469,626.56
  5. Step 5: Solve for x
    x = 737,625,469,626.56/385,169.25
  6. Step 6: Final answer
    x = 1,915,068.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.