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Finding the Third Proportional to 87,455 and 193,287

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Solution

The third proportional to 87,455 and 193,287 is: 427,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,455 : 193,287 = 193,287 : x
  2. Step 2: Convert to fraction form
    87,455/193,287 = 193,287/x
  3. Step 3: Cross multiply
    87,455x = 193,287 × 193,287
  4. Step 4: Simplify right side
    87,455x = 37,359,864,369
  5. Step 5: Solve for x
    x = 37,359,864,369/87,455
  6. Step 6: Final answer
    x = 427,189.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.