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Finding the Third Proportional to 211,826 and 327,691

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Solution

The third proportional to 211,826 and 327,691 is: 506,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,826 : 327,691 = 327,691 : x
  2. Step 2: Convert to fraction form
    211,826/327,691 = 327,691/x
  3. Step 3: Cross multiply
    211,826x = 327,691 × 327,691
  4. Step 4: Simplify right side
    211,826x = 107,381,391,481
  5. Step 5: Solve for x
    x = 107,381,391,481/211,826
  6. Step 6: Final answer
    x = 506,932.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.