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Finding the Third Proportional to 422,367 and 851,646

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Solution

The third proportional to 422,367 and 851,646 is: 1,717,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,367 : 851,646 = 851,646 : x
  2. Step 2: Convert to fraction form
    422,367/851,646 = 851,646/x
  3. Step 3: Cross multiply
    422,367x = 851,646 × 851,646
  4. Step 4: Simplify right side
    422,367x = 725,300,909,316
  5. Step 5: Solve for x
    x = 725,300,909,316/422,367
  6. Step 6: Final answer
    x = 1,717,229.11

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.