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Finding the Third Proportional to 250,310 and 521,329

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Solution

The third proportional to 250,310 and 521,329 is: 1,085,789.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,310 : 521,329 = 521,329 : x
  2. Step 2: Convert to fraction form
    250,310/521,329 = 521,329/x
  3. Step 3: Cross multiply
    250,310x = 521,329 × 521,329
  4. Step 4: Simplify right side
    250,310x = 271,783,926,241
  5. Step 5: Solve for x
    x = 271,783,926,241/250,310
  6. Step 6: Final answer
    x = 1,085,789.33

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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.