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Finding the Third Proportional to 389,674 and 809,962

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Solution

The third proportional to 389,674 and 809,962 is: 1,683,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,674 : 809,962 = 809,962 : x
  2. Step 2: Convert to fraction form
    389,674/809,962 = 809,962/x
  3. Step 3: Cross multiply
    389,674x = 809,962 × 809,962
  4. Step 4: Simplify right side
    389,674x = 656,038,441,444
  5. Step 5: Solve for x
    x = 656,038,441,444/389,674
  6. Step 6: Final answer
    x = 1,683,557.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.