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Finding the Third Proportional to 389,676 and 809,964

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Solution

The third proportional to 389,676 and 809,964 is: 1,683,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,676 : 809,964 = 809,964 : x
  2. Step 2: Convert to fraction form
    389,676/809,964 = 809,964/x
  3. Step 3: Cross multiply
    389,676x = 809,964 × 809,964
  4. Step 4: Simplify right side
    389,676x = 656,041,681,296
  5. Step 5: Solve for x
    x = 656,041,681,296/389,676
  6. Step 6: Final answer
    x = 1,683,556.80

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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.