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Finding the Third Proportional to 81,141 and 174,765

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Solution

The third proportional to 81,141 and 174,765 is: 376,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,141 : 174,765 = 174,765 : x
  2. Step 2: Convert to fraction form
    81,141/174,765 = 174,765/x
  3. Step 3: Cross multiply
    81,141x = 174,765 × 174,765
  4. Step 4: Simplify right side
    81,141x = 30,542,805,225
  5. Step 5: Solve for x
    x = 30,542,805,225/81,141
  6. Step 6: Final answer
    x = 376,416.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.