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Finding the Third Proportional to 395,921 and 864,439

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Solution

The third proportional to 395,921 and 864,439 is: 1,887,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,921 : 864,439 = 864,439 : x
  2. Step 2: Convert to fraction form
    395,921/864,439 = 864,439/x
  3. Step 3: Cross multiply
    395,921x = 864,439 × 864,439
  4. Step 4: Simplify right side
    395,921x = 747,254,784,721
  5. Step 5: Solve for x
    x = 747,254,784,721/395,921
  6. Step 6: Final answer
    x = 1,887,383.56

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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.