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Finding the Third Proportional to 81,666 and 110,832

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Solution

The third proportional to 81,666 and 110,832 is: 150,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,666 : 110,832 = 110,832 : x
  2. Step 2: Convert to fraction form
    81,666/110,832 = 110,832/x
  3. Step 3: Cross multiply
    81,666x = 110,832 × 110,832
  4. Step 4: Simplify right side
    81,666x = 12,283,732,224
  5. Step 5: Solve for x
    x = 12,283,732,224/81,666
  6. Step 6: Final answer
    x = 150,414.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.