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Finding the Third Proportional to 394,030 and 816,088

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Solution

The third proportional to 394,030 and 816,088 is: 1,690,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,030 : 816,088 = 816,088 : x
  2. Step 2: Convert to fraction form
    394,030/816,088 = 816,088/x
  3. Step 3: Cross multiply
    394,030x = 816,088 × 816,088
  4. Step 4: Simplify right side
    394,030x = 665,999,623,744
  5. Step 5: Solve for x
    x = 665,999,623,744/394,030
  6. Step 6: Final answer
    x = 1,690,225.68

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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.