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Finding the Third Proportional to 81,816.75 and 171,082.13

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Solution

The third proportional to 81,816.75 and 171,082.13 is: 357,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816.75 : 171,082.13 = 171,082.13 : x
  2. Step 2: Convert to fraction form
    81,816.75/171,082.13 = 171,082.13/x
  3. Step 3: Cross multiply
    81,816.75x = 171,082.13 × 171,082.13
  4. Step 4: Simplify right side
    81,816.75x = 29,269,093,494.52
  5. Step 5: Solve for x
    x = 29,269,093,494.52/81,816.75
  6. Step 6: Final answer
    x = 357,739.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.