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Finding the Third Proportional to 101.49 and 218.37

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Solution

The third proportional to 101.49 and 218.37 is: 469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.49 : 218.37 = 218.37 : x
  2. Step 2: Convert to fraction form
    101.49/218.37 = 218.37/x
  3. Step 3: Cross multiply
    101.49x = 218.37 × 218.37
  4. Step 4: Simplify right side
    101.49x = 47,686.79
  5. Step 5: Solve for x
    x = 47,686.79/101.49
  6. Step 6: Final answer
    x = 469.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.