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Finding the Third Proportional to 50.38 and 109.30

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Solution

The third proportional to 50.38 and 109.30 is: 237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.38 : 109.30 = 109.30 : x
  2. Step 2: Convert to fraction form
    50.38/109.30 = 109.30/x
  3. Step 3: Cross multiply
    50.38x = 109.30 × 109.30
  4. Step 4: Simplify right side
    50.38x = 11,946.66
  5. Step 5: Solve for x
    x = 11,946.66/50.38
  6. Step 6: Final answer
    x = 237.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.