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Finding the Third Proportional to 415,928 and 851,564

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Solution

The third proportional to 415,928 and 851,564 is: 1,743,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,928 : 851,564 = 851,564 : x
  2. Step 2: Convert to fraction form
    415,928/851,564 = 851,564/x
  3. Step 3: Cross multiply
    415,928x = 851,564 × 851,564
  4. Step 4: Simplify right side
    415,928x = 725,161,246,096
  5. Step 5: Solve for x
    x = 725,161,246,096/415,928
  6. Step 6: Final answer
    x = 1,743,477.83

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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.