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Finding the Third Proportional to 217.13 and 302.06

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Solution

The third proportional to 217.13 and 302.06 is: 420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.13 : 302.06 = 302.06 : x
  2. Step 2: Convert to fraction form
    217.13/302.06 = 302.06/x
  3. Step 3: Cross multiply
    217.13x = 302.06 × 302.06
  4. Step 4: Simplify right side
    217.13x = 91,241.75
  5. Step 5: Solve for x
    x = 91,241.75/217.13
  6. Step 6: Final answer
    x = 420.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.