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Finding the Third Proportional to 181,947 and 394,820

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Solution

The third proportional to 181,947 and 394,820 is: 856,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,947 : 394,820 = 394,820 : x
  2. Step 2: Convert to fraction form
    181,947/394,820 = 394,820/x
  3. Step 3: Cross multiply
    181,947x = 394,820 × 394,820
  4. Step 4: Simplify right side
    181,947x = 155,882,832,400
  5. Step 5: Solve for x
    x = 155,882,832,400/181,947
  6. Step 6: Final answer
    x = 856,748.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.