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Finding the Third Proportional to 400,079 and 872,059

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Solution

The third proportional to 400,079 and 872,059 is: 1,900,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,079 : 872,059 = 872,059 : x
  2. Step 2: Convert to fraction form
    400,079/872,059 = 872,059/x
  3. Step 3: Cross multiply
    400,079x = 872,059 × 872,059
  4. Step 4: Simplify right side
    400,079x = 760,486,899,481
  5. Step 5: Solve for x
    x = 760,486,899,481/400,079
  6. Step 6: Final answer
    x = 1,900,841.83

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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.