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Finding the Third Proportional to 87,852 and 192,633

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Solution

The third proportional to 87,852 and 192,633 is: 422,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,852 : 192,633 = 192,633 : x
  2. Step 2: Convert to fraction form
    87,852/192,633 = 192,633/x
  3. Step 3: Cross multiply
    87,852x = 192,633 × 192,633
  4. Step 4: Simplify right side
    87,852x = 37,107,472,689
  5. Step 5: Solve for x
    x = 37,107,472,689/87,852
  6. Step 6: Final answer
    x = 422,386.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.