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Finding the Third Proportional to 415,909 and 851,526

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Solution

The third proportional to 415,909 and 851,526 is: 1,743,401.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,909 : 851,526 = 851,526 : x
  2. Step 2: Convert to fraction form
    415,909/851,526 = 851,526/x
  3. Step 3: Cross multiply
    415,909x = 851,526 × 851,526
  4. Step 4: Simplify right side
    415,909x = 725,096,528,676
  5. Step 5: Solve for x
    x = 725,096,528,676/415,909
  6. Step 6: Final answer
    x = 1,743,401.87

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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.