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Finding the Third Proportional to 216,801 and 328,259

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Solution

The third proportional to 216,801 and 328,259 is: 497,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,801 : 328,259 = 328,259 : x
  2. Step 2: Convert to fraction form
    216,801/328,259 = 328,259/x
  3. Step 3: Cross multiply
    216,801x = 328,259 × 328,259
  4. Step 4: Simplify right side
    216,801x = 107,753,971,081
  5. Step 5: Solve for x
    x = 107,753,971,081/216,801
  6. Step 6: Final answer
    x = 497,017.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.