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Finding the Third Proportional to 394,092 and 816,210

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Solution

The third proportional to 394,092 and 816,210 is: 1,690,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,092 : 816,210 = 816,210 : x
  2. Step 2: Convert to fraction form
    394,092/816,210 = 816,210/x
  3. Step 3: Cross multiply
    394,092x = 816,210 × 816,210
  4. Step 4: Simplify right side
    394,092x = 666,198,764,100
  5. Step 5: Solve for x
    x = 666,198,764,100/394,092
  6. Step 6: Final answer
    x = 1,690,465.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.