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Finding the Third Proportional to 415,907 and 851,522

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Solution

The third proportional to 415,907 and 851,522 is: 1,743,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907 : 851,522 = 851,522 : x
  2. Step 2: Convert to fraction form
    415,907/851,522 = 851,522/x
  3. Step 3: Cross multiply
    415,907x = 851,522 × 851,522
  4. Step 4: Simplify right side
    415,907x = 725,089,716,484
  5. Step 5: Solve for x
    x = 725,089,716,484/415,907
  6. Step 6: Final answer
    x = 1,743,393.88

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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.