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Finding the Third Proportional to 288,422 and 395,691

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Solution

The third proportional to 288,422 and 395,691 is: 542,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,422 : 395,691 = 395,691 : x
  2. Step 2: Convert to fraction form
    288,422/395,691 = 395,691/x
  3. Step 3: Cross multiply
    288,422x = 395,691 × 395,691
  4. Step 4: Simplify right side
    288,422x = 156,571,367,481
  5. Step 5: Solve for x
    x = 156,571,367,481/288,422
  6. Step 6: Final answer
    x = 542,855.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.