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Finding the Third Proportional to 81,736 and 175,135

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Solution

The third proportional to 81,736 and 175,135 is: 375,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,736 : 175,135 = 175,135 : x
  2. Step 2: Convert to fraction form
    81,736/175,135 = 175,135/x
  3. Step 3: Cross multiply
    81,736x = 175,135 × 175,135
  4. Step 4: Simplify right side
    81,736x = 30,672,268,225
  5. Step 5: Solve for x
    x = 30,672,268,225/81,736
  6. Step 6: Final answer
    x = 375,260.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.