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Finding the Third Proportional to 114.47 and 201.09

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Solution

The third proportional to 114.47 and 201.09 is: 353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.47 : 201.09 = 201.09 : x
  2. Step 2: Convert to fraction form
    114.47/201.09 = 201.09/x
  3. Step 3: Cross multiply
    114.47x = 201.09 × 201.09
  4. Step 4: Simplify right side
    114.47x = 40,438.70
  5. Step 5: Solve for x
    x = 40,438.70/114.47
  6. Step 6: Final answer
    x = 353.27

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.