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Finding the Third Proportional to 192,002 and 448,561

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Solution

The third proportional to 192,002 and 448,561 is: 1,047,942.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,002 : 448,561 = 448,561 : x
  2. Step 2: Convert to fraction form
    192,002/448,561 = 448,561/x
  3. Step 3: Cross multiply
    192,002x = 448,561 × 448,561
  4. Step 4: Simplify right side
    192,002x = 201,206,970,721
  5. Step 5: Solve for x
    x = 201,206,970,721/192,002
  6. Step 6: Final answer
    x = 1,047,942.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.