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Finding the Third Proportional to 87.94 and 190.47

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Solution

The third proportional to 87.94 and 190.47 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.94 : 190.47 = 190.47 : x
  2. Step 2: Convert to fraction form
    87.94/190.47 = 190.47/x
  3. Step 3: Cross multiply
    87.94x = 190.47 × 190.47
  4. Step 4: Simplify right side
    87.94x = 36,278.34
  5. Step 5: Solve for x
    x = 36,278.34/87.94
  6. Step 6: Final answer
    x = 412.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.