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Finding the Third Proportional to 87.23 and 183.43

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Solution

The third proportional to 87.23 and 183.43 is: 385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.23 : 183.43 = 183.43 : x
  2. Step 2: Convert to fraction form
    87.23/183.43 = 183.43/x
  3. Step 3: Cross multiply
    87.23x = 183.43 × 183.43
  4. Step 4: Simplify right side
    87.23x = 33,646.45
  5. Step 5: Solve for x
    x = 33,646.45/87.23
  6. Step 6: Final answer
    x = 385.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.