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Finding the Third Proportional to 87,487 and 193,633

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Solution

The third proportional to 87,487 and 193,633 is: 428,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,487 : 193,633 = 193,633 : x
  2. Step 2: Convert to fraction form
    87,487/193,633 = 193,633/x
  3. Step 3: Cross multiply
    87,487x = 193,633 × 193,633
  4. Step 4: Simplify right side
    87,487x = 37,493,738,689
  5. Step 5: Solve for x
    x = 37,493,738,689/87,487
  6. Step 6: Final answer
    x = 428,563.54

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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.