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Finding the Third Proportional to 181,980 and 393,768

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Solution

The third proportional to 181,980 and 393,768 is: 852,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,980 : 393,768 = 393,768 : x
  2. Step 2: Convert to fraction form
    181,980/393,768 = 393,768/x
  3. Step 3: Cross multiply
    181,980x = 393,768 × 393,768
  4. Step 4: Simplify right side
    181,980x = 155,053,237,824
  5. Step 5: Solve for x
    x = 155,053,237,824/181,980
  6. Step 6: Final answer
    x = 852,034.50

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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.