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Finding the Third Proportional to 115.31 and 218.06

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Solution

The third proportional to 115.31 and 218.06 is: 412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.31 : 218.06 = 218.06 : x
  2. Step 2: Convert to fraction form
    115.31/218.06 = 218.06/x
  3. Step 3: Cross multiply
    115.31x = 218.06 × 218.06
  4. Step 4: Simplify right side
    115.31x = 47,551.25
  5. Step 5: Solve for x
    x = 47,551.25/115.31
  6. Step 6: Final answer
    x = 412.37

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.