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Finding the Third Proportional to 408,985 and 837,802

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Solution

The third proportional to 408,985 and 837,802 is: 1,716,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,985 : 837,802 = 837,802 : x
  2. Step 2: Convert to fraction form
    408,985/837,802 = 837,802/x
  3. Step 3: Cross multiply
    408,985x = 837,802 × 837,802
  4. Step 4: Simplify right side
    408,985x = 701,912,191,204
  5. Step 5: Solve for x
    x = 701,912,191,204/408,985
  6. Step 6: Final answer
    x = 1,716,229.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.