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Finding the Third Proportional to 394,769 and 830,790

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Solution

The third proportional to 394,769 and 830,790 is: 1,748,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,769 : 830,790 = 830,790 : x
  2. Step 2: Convert to fraction form
    394,769/830,790 = 830,790/x
  3. Step 3: Cross multiply
    394,769x = 830,790 × 830,790
  4. Step 4: Simplify right side
    394,769x = 690,212,024,100
  5. Step 5: Solve for x
    x = 690,212,024,100/394,769
  6. Step 6: Final answer
    x = 1,748,394.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.