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Finding the Third Proportional to 87,989 and 192,607

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Solution

The third proportional to 87,989 and 192,607 is: 421,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,989 : 192,607 = 192,607 : x
  2. Step 2: Convert to fraction form
    87,989/192,607 = 192,607/x
  3. Step 3: Cross multiply
    87,989x = 192,607 × 192,607
  4. Step 4: Simplify right side
    87,989x = 37,097,456,449
  5. Step 5: Solve for x
    x = 37,097,456,449/87,989
  6. Step 6: Final answer
    x = 421,614.71

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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.