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Finding the Third Proportional to 81,930 and 176,982

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Solution

The third proportional to 81,930 and 176,982 is: 382,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930 : 176,982 = 176,982 : x
  2. Step 2: Convert to fraction form
    81,930/176,982 = 176,982/x
  3. Step 3: Cross multiply
    81,930x = 176,982 × 176,982
  4. Step 4: Simplify right side
    81,930x = 31,322,628,324
  5. Step 5: Solve for x
    x = 31,322,628,324/81,930
  6. Step 6: Final answer
    x = 382,309.63

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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.