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Finding the Third Proportional to 398,985 and 853,266

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Solution

The third proportional to 398,985 and 853,266 is: 1,824,787.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,985 : 853,266 = 853,266 : x
  2. Step 2: Convert to fraction form
    398,985/853,266 = 853,266/x
  3. Step 3: Cross multiply
    398,985x = 853,266 × 853,266
  4. Step 4: Simplify right side
    398,985x = 728,062,866,756
  5. Step 5: Solve for x
    x = 728,062,866,756/398,985
  6. Step 6: Final answer
    x = 1,824,787.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.