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Finding the Third Proportional to 91.69 and 201.80

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Solution

The third proportional to 91.69 and 201.80 is: 444.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.69 : 201.80 = 201.80 : x
  2. Step 2: Convert to fraction form
    91.69/201.80 = 201.80/x
  3. Step 3: Cross multiply
    91.69x = 201.80 × 201.80
  4. Step 4: Simplify right side
    91.69x = 40,721.98
  5. Step 5: Solve for x
    x = 40,721.98/91.69
  6. Step 6: Final answer
    x = 444.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.