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Finding the Third Proportional to 84,231 and 181,980

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Solution

The third proportional to 84,231 and 181,980 is: 393,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,231 : 181,980 = 181,980 : x
  2. Step 2: Convert to fraction form
    84,231/181,980 = 181,980/x
  3. Step 3: Cross multiply
    84,231x = 181,980 × 181,980
  4. Step 4: Simplify right side
    84,231x = 33,116,720,400
  5. Step 5: Solve for x
    x = 33,116,720,400/84,231
  6. Step 6: Final answer
    x = 393,165.47

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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.