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Finding the Third Proportional to 394,671 and 868,071

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Solution

The third proportional to 394,671 and 868,071 is: 1,909,304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,671 : 868,071 = 868,071 : x
  2. Step 2: Convert to fraction form
    394,671/868,071 = 868,071/x
  3. Step 3: Cross multiply
    394,671x = 868,071 × 868,071
  4. Step 4: Simplify right side
    394,671x = 753,547,261,041
  5. Step 5: Solve for x
    x = 753,547,261,041/394,671
  6. Step 6: Final answer
    x = 1,909,304.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.