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Finding the Third Proportional to 20.91 and 53.62

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Solution

The third proportional to 20.91 and 53.62 is: 137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.91 : 53.62 = 53.62 : x
  2. Step 2: Convert to fraction form
    20.91/53.62 = 53.62/x
  3. Step 3: Cross multiply
    20.91x = 53.62 × 53.62
  4. Step 4: Simplify right side
    20.91x = 2,874.74
  5. Step 5: Solve for x
    x = 2,874.74/20.91
  6. Step 6: Final answer
    x = 137.47

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.