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Finding the Third Proportional to 87.33 and 189.37

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Solution

The third proportional to 87.33 and 189.37 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.33 : 189.37 = 189.37 : x
  2. Step 2: Convert to fraction form
    87.33/189.37 = 189.37/x
  3. Step 3: Cross multiply
    87.33x = 189.37 × 189.37
  4. Step 4: Simplify right side
    87.33x = 35,860.67
  5. Step 5: Solve for x
    x = 35,860.67/87.33
  6. Step 6: Final answer
    x = 410.64

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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.