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Finding the Third Proportional to 90,721 and 192,257

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Solution

The third proportional to 90,721 and 192,257 is: 407,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,721 : 192,257 = 192,257 : x
  2. Step 2: Convert to fraction form
    90,721/192,257 = 192,257/x
  3. Step 3: Cross multiply
    90,721x = 192,257 × 192,257
  4. Step 4: Simplify right side
    90,721x = 36,962,754,049
  5. Step 5: Solve for x
    x = 36,962,754,049/90,721
  6. Step 6: Final answer
    x = 407,433.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.