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Finding the Third Proportional to 40.22 and 88.04

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Solution

The third proportional to 40.22 and 88.04 is: 192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.22 : 88.04 = 88.04 : x
  2. Step 2: Convert to fraction form
    40.22/88.04 = 88.04/x
  3. Step 3: Cross multiply
    40.22x = 88.04 × 88.04
  4. Step 4: Simplify right side
    40.22x = 7,751.05
  5. Step 5: Solve for x
    x = 7,751.05/40.22
  6. Step 6: Final answer
    x = 192.70

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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.