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Finding the Third Proportional to 40.13 and 85.03

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Solution

The third proportional to 40.13 and 85.03 is: 180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.13 : 85.03 = 85.03 : x
  2. Step 2: Convert to fraction form
    40.13/85.03 = 85.03/x
  3. Step 3: Cross multiply
    40.13x = 85.03 × 85.03
  4. Step 4: Simplify right side
    40.13x = 7,230.31
  5. Step 5: Solve for x
    x = 7,230.31/40.13
  6. Step 6: Final answer
    x = 180.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.