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Finding the Third Proportional to 201.69 and 310.41

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Solution

The third proportional to 201.69 and 310.41 is: 477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.69 : 310.41 = 310.41 : x
  2. Step 2: Convert to fraction form
    201.69/310.41 = 310.41/x
  3. Step 3: Cross multiply
    201.69x = 310.41 × 310.41
  4. Step 4: Simplify right side
    201.69x = 96,352.04
  5. Step 5: Solve for x
    x = 96,352.04/201.69
  6. Step 6: Final answer
    x = 477.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.