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Finding the Third Proportional to 217.13 and 303.16

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Solution

The third proportional to 217.13 and 303.16 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 303.16 = 303.16 : x
  2. Step 2: Convert to fraction form
    217.13/303.16 = 303.16/x
  3. Step 3: Cross multiply
    217.13x = 303.16 × 303.16
  4. Step 4: Simplify right side
    217.13x = 91,904.01
  5. Step 5: Solve for x
    x = 91,904.01/217.13
  6. Step 6: Final answer
    x = 423.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.