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Finding the Third Proportional to 385,089 and 858,723

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Solution

The third proportional to 385,089 and 858,723 is: 1,914,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,089 : 858,723 = 858,723 : x
  2. Step 2: Convert to fraction form
    385,089/858,723 = 858,723/x
  3. Step 3: Cross multiply
    385,089x = 858,723 × 858,723
  4. Step 4: Simplify right side
    385,089x = 737,405,190,729
  5. Step 5: Solve for x
    x = 737,405,190,729/385,089
  6. Step 6: Final answer
    x = 1,914,895.49

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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.