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Finding the Third Proportional to 109.63 and 165.16

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Solution

The third proportional to 109.63 and 165.16 is: 248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 165.16 = 165.16 : x
  2. Step 2: Convert to fraction form
    109.63/165.16 = 165.16/x
  3. Step 3: Cross multiply
    109.63x = 165.16 × 165.16
  4. Step 4: Simplify right side
    109.63x = 27,279.17
  5. Step 5: Solve for x
    x = 27,279.17/109.63
  6. Step 6: Final answer
    x = 248.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.