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Finding the Third Proportional to 109.13 and 166.63

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Solution

The third proportional to 109.13 and 166.63 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.13 : 166.63 = 166.63 : x
  2. Step 2: Convert to fraction form
    109.13/166.63 = 166.63/x
  3. Step 3: Cross multiply
    109.13x = 166.63 × 166.63
  4. Step 4: Simplify right side
    109.13x = 27,763.89
  5. Step 5: Solve for x
    x = 27,763.89/109.13
  6. Step 6: Final answer
    x = 254.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.