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Finding the Third Proportional to 68,047 and 149,378

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Solution

The third proportional to 68,047 and 149,378 is: 327,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,047 : 149,378 = 149,378 : x
  2. Step 2: Convert to fraction form
    68,047/149,378 = 149,378/x
  3. Step 3: Cross multiply
    68,047x = 149,378 × 149,378
  4. Step 4: Simplify right side
    68,047x = 22,313,786,884
  5. Step 5: Solve for x
    x = 22,313,786,884/68,047
  6. Step 6: Final answer
    x = 327,917.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.