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Finding the Third Proportional to 181,980 and 393,552

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Solution

The third proportional to 181,980 and 393,552 is: 851,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,980 : 393,552 = 393,552 : x
  2. Step 2: Convert to fraction form
    181,980/393,552 = 393,552/x
  3. Step 3: Cross multiply
    181,980x = 393,552 × 393,552
  4. Step 4: Simplify right side
    181,980x = 154,883,176,704
  5. Step 5: Solve for x
    x = 154,883,176,704/181,980
  6. Step 6: Final answer
    x = 851,099.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.