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Finding the Third Proportional to 415,982 and 851,672

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Solution

The third proportional to 415,982 and 851,672 is: 1,743,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,982 : 851,672 = 851,672 : x
  2. Step 2: Convert to fraction form
    415,982/851,672 = 851,672/x
  3. Step 3: Cross multiply
    415,982x = 851,672 × 851,672
  4. Step 4: Simplify right side
    415,982x = 725,345,195,584
  5. Step 5: Solve for x
    x = 725,345,195,584/415,982
  6. Step 6: Final answer
    x = 1,743,693.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.