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Finding the Third Proportional to 394,210 and 864,722

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Solution

The third proportional to 394,210 and 864,722 is: 1,896,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,210 : 864,722 = 864,722 : x
  2. Step 2: Convert to fraction form
    394,210/864,722 = 864,722/x
  3. Step 3: Cross multiply
    394,210x = 864,722 × 864,722
  4. Step 4: Simplify right side
    394,210x = 747,744,137,284
  5. Step 5: Solve for x
    x = 747,744,137,284/394,210
  6. Step 6: Final answer
    x = 1,896,816.77

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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.