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Finding the Third Proportional to 87,703.50 and 192,903

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Solution

The third proportional to 87,703.50 and 192,903 is: 424,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,703.50 : 192,903 = 192,903 : x
  2. Step 2: Convert to fraction form
    87,703.50/192,903 = 192,903/x
  3. Step 3: Cross multiply
    87,703.50x = 192,903 × 192,903
  4. Step 4: Simplify right side
    87,703.50x = 37,211,567,409
  5. Step 5: Solve for x
    x = 37,211,567,409/87,703.50
  6. Step 6: Final answer
    x = 424,288.28

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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.