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Finding the Third Proportional to 20.87 and 30.48

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Solution

The third proportional to 20.87 and 30.48 is: 44.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.87 : 30.48 = 30.48 : x
  2. Step 2: Convert to fraction form
    20.87/30.48 = 30.48/x
  3. Step 3: Cross multiply
    20.87x = 30.48 × 30.48
  4. Step 4: Simplify right side
    20.87x = 929.06
  5. Step 5: Solve for x
    x = 929.06/20.87
  6. Step 6: Final answer
    x = 44.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.