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Finding the Third Proportional to 393,897 and 859,086

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Solution

The third proportional to 393,897 and 859,086 is: 1,873,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,897 : 859,086 = 859,086 : x
  2. Step 2: Convert to fraction form
    393,897/859,086 = 859,086/x
  3. Step 3: Cross multiply
    393,897x = 859,086 × 859,086
  4. Step 4: Simplify right side
    393,897x = 738,028,755,396
  5. Step 5: Solve for x
    x = 738,028,755,396/393,897
  6. Step 6: Final answer
    x = 1,873,659.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.