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Finding the Third Proportional to 109.16 and 224.65

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Solution

The third proportional to 109.16 and 224.65 is: 462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 224.65 = 224.65 : x
  2. Step 2: Convert to fraction form
    109.16/224.65 = 224.65/x
  3. Step 3: Cross multiply
    109.16x = 224.65 × 224.65
  4. Step 4: Simplify right side
    109.16x = 50,466.92
  5. Step 5: Solve for x
    x = 50,466.92/109.16
  6. Step 6: Final answer
    x = 462.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.