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Finding the Third Proportional to 201.76 and 321.52

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Solution

The third proportional to 201.76 and 321.52 is: 512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.76 : 321.52 = 321.52 : x
  2. Step 2: Convert to fraction form
    201.76/321.52 = 321.52/x
  3. Step 3: Cross multiply
    201.76x = 321.52 × 321.52
  4. Step 4: Simplify right side
    201.76x = 103,376.06
  5. Step 5: Solve for x
    x = 103,376.06/201.76
  6. Step 6: Final answer
    x = 512.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.