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Finding the Third Proportional to 68,021.75 and 147,694.75

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Solution

The third proportional to 68,021.75 and 147,694.75 is: 320,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,021.75 : 147,694.75 = 147,694.75 : x
  2. Step 2: Convert to fraction form
    68,021.75/147,694.75 = 147,694.75/x
  3. Step 3: Cross multiply
    68,021.75x = 147,694.75 × 147,694.75
  4. Step 4: Simplify right side
    68,021.75x = 21,813,739,177.56
  5. Step 5: Solve for x
    x = 21,813,739,177.56/68,021.75
  6. Step 6: Final answer
    x = 320,687.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.