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Finding the Third Proportional to 91.78 and 201.19

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Solution

The third proportional to 91.78 and 201.19 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.78 : 201.19 = 201.19 : x
  2. Step 2: Convert to fraction form
    91.78/201.19 = 201.19/x
  3. Step 3: Cross multiply
    91.78x = 201.19 × 201.19
  4. Step 4: Simplify right side
    91.78x = 40,476.41
  5. Step 5: Solve for x
    x = 40,476.41/91.78
  6. Step 6: Final answer
    x = 441.01

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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.