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Finding the Third Proportional to 21.97 and 48.34

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Solution

The third proportional to 21.97 and 48.34 is: 106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.97 : 48.34 = 48.34 : x
  2. Step 2: Convert to fraction form
    21.97/48.34 = 48.34/x
  3. Step 3: Cross multiply
    21.97x = 48.34 × 48.34
  4. Step 4: Simplify right side
    21.97x = 2,336.74
  5. Step 5: Solve for x
    x = 2,336.74/21.97
  6. Step 6: Final answer
    x = 106.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.