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Finding the Third Proportional to 181,400 and 393,872

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Solution

The third proportional to 181,400 and 393,872 is: 855,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,400 : 393,872 = 393,872 : x
  2. Step 2: Convert to fraction form
    181,400/393,872 = 393,872/x
  3. Step 3: Cross multiply
    181,400x = 393,872 × 393,872
  4. Step 4: Simplify right side
    181,400x = 155,135,152,384
  5. Step 5: Solve for x
    x = 155,135,152,384/181,400
  6. Step 6: Final answer
    x = 855,210.32

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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.