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Finding the Third Proportional to 87.93 and 213.07

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Solution

The third proportional to 87.93 and 213.07 is: 516.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.93 : 213.07 = 213.07 : x
  2. Step 2: Convert to fraction form
    87.93/213.07 = 213.07/x
  3. Step 3: Cross multiply
    87.93x = 213.07 × 213.07
  4. Step 4: Simplify right side
    87.93x = 45,398.59
  5. Step 5: Solve for x
    x = 45,398.59/87.93
  6. Step 6: Final answer
    x = 516.28

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.