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Finding the Third Proportional to 250,309 and 521,327

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Solution

The third proportional to 250,309 and 521,327 is: 1,085,785.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,309 : 521,327 = 521,327 : x
  2. Step 2: Convert to fraction form
    250,309/521,327 = 521,327/x
  3. Step 3: Cross multiply
    250,309x = 521,327 × 521,327
  4. Step 4: Simplify right side
    250,309x = 271,781,840,929
  5. Step 5: Solve for x
    x = 271,781,840,929/250,309
  6. Step 6: Final answer
    x = 1,085,785.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.