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Finding the Third Proportional to 201.19 and 437.81

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Solution

The third proportional to 201.19 and 437.81 is: 952.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.19 : 437.81 = 437.81 : x
  2. Step 2: Convert to fraction form
    201.19/437.81 = 437.81/x
  3. Step 3: Cross multiply
    201.19x = 437.81 × 437.81
  4. Step 4: Simplify right side
    201.19x = 191,679.79
  5. Step 5: Solve for x
    x = 191,679.79/201.19
  6. Step 6: Final answer
    x = 952.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.