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Finding the Third Proportional to 109.03 and 155.91

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Solution

The third proportional to 109.03 and 155.91 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.03 : 155.91 = 155.91 : x
  2. Step 2: Convert to fraction form
    109.03/155.91 = 155.91/x
  3. Step 3: Cross multiply
    109.03x = 155.91 × 155.91
  4. Step 4: Simplify right side
    109.03x = 24,306.76
  5. Step 5: Solve for x
    x = 24,306.76/109.03
  6. Step 6: Final answer
    x = 222.93

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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.