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Finding the Third Proportional to 21 and 49.56

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Solution

The third proportional to 21 and 49.56 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21 : 49.56 = 49.56 : x
  2. Step 2: Convert to fraction form
    21/49.56 = 49.56/x
  3. Step 3: Cross multiply
    21x = 49.56 × 49.56
  4. Step 4: Simplify right side
    21x = 2,456.44
  5. Step 5: Solve for x
    x = 2,456.44/21
  6. Step 6: Final answer
    x = 116.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.