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Finding the Third Proportional to 85.19 and 131.12

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Solution

The third proportional to 85.19 and 131.12 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.19 : 131.12 = 131.12 : x
  2. Step 2: Convert to fraction form
    85.19/131.12 = 131.12/x
  3. Step 3: Cross multiply
    85.19x = 131.12 × 131.12
  4. Step 4: Simplify right side
    85.19x = 17,193.51
  5. Step 5: Solve for x
    x = 17,193.51/85.19
  6. Step 6: Final answer
    x = 201.82

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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.