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Finding the Third Proportional to 30.48 and 47.41

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Solution

The third proportional to 30.48 and 47.41 is: 73.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.48 : 47.41 = 47.41 : x
  2. Step 2: Convert to fraction form
    30.48/47.41 = 47.41/x
  3. Step 3: Cross multiply
    30.48x = 47.41 × 47.41
  4. Step 4: Simplify right side
    30.48x = 2,247.54
  5. Step 5: Solve for x
    x = 2,247.54/30.48
  6. Step 6: Final answer
    x = 73.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.