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Finding the Third Proportional to 109.50 and 216.13

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Solution

The third proportional to 109.50 and 216.13 is: 426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.50 : 216.13 = 216.13 : x
  2. Step 2: Convert to fraction form
    109.50/216.13 = 216.13/x
  3. Step 3: Cross multiply
    109.50x = 216.13 × 216.13
  4. Step 4: Simplify right side
    109.50x = 46,710.02
  5. Step 5: Solve for x
    x = 46,710.02/109.50
  6. Step 6: Final answer
    x = 426.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.