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Finding the Third Proportional to 385,170 and 858,855

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Solution

The third proportional to 385,170 and 858,855 is: 1,915,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,170 : 858,855 = 858,855 : x
  2. Step 2: Convert to fraction form
    385,170/858,855 = 858,855/x
  3. Step 3: Cross multiply
    385,170x = 858,855 × 858,855
  4. Step 4: Simplify right side
    385,170x = 737,631,911,025
  5. Step 5: Solve for x
    x = 737,631,911,025/385,170
  6. Step 6: Final answer
    x = 1,915,081.42

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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.