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Finding the Third Proportional to 385,171.25 and 858,855.25

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Solution

The third proportional to 385,171.25 and 858,855.25 is: 1,915,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,171.25 : 858,855.25 = 858,855.25 : x
  2. Step 2: Convert to fraction form
    385,171.25/858,855.25 = 858,855.25/x
  3. Step 3: Cross multiply
    385,171.25x = 858,855.25 × 858,855.25
  4. Step 4: Simplify right side
    385,171.25x = 737,632,340,452.56
  5. Step 5: Solve for x
    x = 737,632,340,452.56/385,171.25
  6. Step 6: Final answer
    x = 1,915,076.32

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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.