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Finding the Third Proportional to 415,908 and 851,489

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Solution

The third proportional to 415,908 and 851,489 is: 1,743,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,908 : 851,489 = 851,489 : x
  2. Step 2: Convert to fraction form
    415,908/851,489 = 851,489/x
  3. Step 3: Cross multiply
    415,908x = 851,489 × 851,489
  4. Step 4: Simplify right side
    415,908x = 725,033,517,121
  5. Step 5: Solve for x
    x = 725,033,517,121/415,908
  6. Step 6: Final answer
    x = 1,743,254.56

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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.