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Finding the Third Proportional to 374,661 and 820,626

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Solution

The third proportional to 374,661 and 820,626 is: 1,797,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,661 : 820,626 = 820,626 : x
  2. Step 2: Convert to fraction form
    374,661/820,626 = 820,626/x
  3. Step 3: Cross multiply
    374,661x = 820,626 × 820,626
  4. Step 4: Simplify right side
    374,661x = 673,427,031,876
  5. Step 5: Solve for x
    x = 673,427,031,876/374,661
  6. Step 6: Final answer
    x = 1,797,430.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.