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Finding the Third Proportional to 211,419 and 323,826

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Solution

The third proportional to 211,419 and 323,826 is: 495,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,419 : 323,826 = 323,826 : x
  2. Step 2: Convert to fraction form
    211,419/323,826 = 323,826/x
  3. Step 3: Cross multiply
    211,419x = 323,826 × 323,826
  4. Step 4: Simplify right side
    211,419x = 104,863,278,276
  5. Step 5: Solve for x
    x = 104,863,278,276/211,419
  6. Step 6: Final answer
    x = 495,997.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.