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Finding the Third Proportional to 87,900 and 193,728

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Solution

The third proportional to 87,900 and 193,728 is: 426,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,900 : 193,728 = 193,728 : x
  2. Step 2: Convert to fraction form
    87,900/193,728 = 193,728/x
  3. Step 3: Cross multiply
    87,900x = 193,728 × 193,728
  4. Step 4: Simplify right side
    87,900x = 37,530,537,984
  5. Step 5: Solve for x
    x = 37,530,537,984/87,900
  6. Step 6: Final answer
    x = 426,968.58

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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.