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Finding the Third Proportional to 400,086 and 868,860

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Solution

The third proportional to 400,086 and 868,860 is: 1,886,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,086 : 868,860 = 868,860 : x
  2. Step 2: Convert to fraction form
    400,086/868,860 = 868,860/x
  3. Step 3: Cross multiply
    400,086x = 868,860 × 868,860
  4. Step 4: Simplify right side
    400,086x = 754,917,699,600
  5. Step 5: Solve for x
    x = 754,917,699,600/400,086
  6. Step 6: Final answer
    x = 1,886,888.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.