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Finding the Third Proportional to 394,110 and 816,246

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Solution

The third proportional to 394,110 and 816,246 is: 1,690,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,110 : 816,246 = 816,246 : x
  2. Step 2: Convert to fraction form
    394,110/816,246 = 816,246/x
  3. Step 3: Cross multiply
    394,110x = 816,246 × 816,246
  4. Step 4: Simplify right side
    394,110x = 666,257,532,516
  5. Step 5: Solve for x
    x = 666,257,532,516/394,110
  6. Step 6: Final answer
    x = 1,690,536.99

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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.