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Finding the Third Proportional to 333,879 and 517,311

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Solution

The third proportional to 333,879 and 517,311 is: 801,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,879 : 517,311 = 517,311 : x
  2. Step 2: Convert to fraction form
    333,879/517,311 = 517,311/x
  3. Step 3: Cross multiply
    333,879x = 517,311 × 517,311
  4. Step 4: Simplify right side
    333,879x = 267,610,670,721
  5. Step 5: Solve for x
    x = 267,610,670,721/333,879
  6. Step 6: Final answer
    x = 801,519.92

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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.