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Finding the Third Proportional to 201 and 439.69

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Solution

The third proportional to 201 and 439.69 is: 961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 439.69 = 439.69 : x
  2. Step 2: Convert to fraction form
    201/439.69 = 439.69/x
  3. Step 3: Cross multiply
    201x = 439.69 × 439.69
  4. Step 4: Simplify right side
    201x = 193,325.10
  5. Step 5: Solve for x
    x = 193,325.10/201
  6. Step 6: Final answer
    x = 961.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.