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Finding the Third Proportional to 110.56 and 172.19

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Solution

The third proportional to 110.56 and 172.19 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.56 : 172.19 = 172.19 : x
  2. Step 2: Convert to fraction form
    110.56/172.19 = 172.19/x
  3. Step 3: Cross multiply
    110.56x = 172.19 × 172.19
  4. Step 4: Simplify right side
    110.56x = 29,648.54
  5. Step 5: Solve for x
    x = 29,648.54/110.56
  6. Step 6: Final answer
    x = 268.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.