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Finding the Third Proportional to 40.08 and 85.22

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Solution

The third proportional to 40.08 and 85.22 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 85.22 = 85.22 : x
  2. Step 2: Convert to fraction form
    40.08/85.22 = 85.22/x
  3. Step 3: Cross multiply
    40.08x = 85.22 × 85.22
  4. Step 4: Simplify right side
    40.08x = 7,262.24
  5. Step 5: Solve for x
    x = 7,262.24/40.08
  6. Step 6: Final answer
    x = 181.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.