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Finding the Third Proportional to 85.12 and 130.90

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Solution

The third proportional to 85.12 and 130.90 is: 201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.12 : 130.90 = 130.90 : x
  2. Step 2: Convert to fraction form
    85.12/130.90 = 130.90/x
  3. Step 3: Cross multiply
    85.12x = 130.90 × 130.90
  4. Step 4: Simplify right side
    85.12x = 17,134.78
  5. Step 5: Solve for x
    x = 17,134.78/85.12
  6. Step 6: Final answer
    x = 201.30

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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.