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Finding the Third Proportional to 398,817 and 853,686

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Solution

The third proportional to 398,817 and 853,686 is: 1,827,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,817 : 853,686 = 853,686 : x
  2. Step 2: Convert to fraction form
    398,817/853,686 = 853,686/x
  3. Step 3: Cross multiply
    398,817x = 853,686 × 853,686
  4. Step 4: Simplify right side
    398,817x = 728,779,786,596
  5. Step 5: Solve for x
    x = 728,779,786,596/398,817
  6. Step 6: Final answer
    x = 1,827,353.87

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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.