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Finding the Third Proportional to 109.11 and 155.51

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Solution

The third proportional to 109.11 and 155.51 is: 221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.11 : 155.51 = 155.51 : x
  2. Step 2: Convert to fraction form
    109.11/155.51 = 155.51/x
  3. Step 3: Cross multiply
    109.11x = 155.51 × 155.51
  4. Step 4: Simplify right side
    109.11x = 24,184.50
  5. Step 5: Solve for x
    x = 24,184.50/109.11
  6. Step 6: Final answer
    x = 221.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.