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Finding the Third Proportional to 100.56 and 165.44

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Solution

The third proportional to 100.56 and 165.44 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.56 : 165.44 = 165.44 : x
  2. Step 2: Convert to fraction form
    100.56/165.44 = 165.44/x
  3. Step 3: Cross multiply
    100.56x = 165.44 × 165.44
  4. Step 4: Simplify right side
    100.56x = 27,369.57
  5. Step 5: Solve for x
    x = 27,369.57/100.56
  6. Step 6: Final answer
    x = 272.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.