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Finding the Third Proportional to 394,020 and 816,066

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Solution

The third proportional to 394,020 and 816,066 is: 1,690,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,020 : 816,066 = 816,066 : x
  2. Step 2: Convert to fraction form
    394,020/816,066 = 816,066/x
  3. Step 3: Cross multiply
    394,020x = 816,066 × 816,066
  4. Step 4: Simplify right side
    394,020x = 665,963,716,356
  5. Step 5: Solve for x
    x = 665,963,716,356/394,020
  6. Step 6: Final answer
    x = 1,690,177.44

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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.