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Finding the Third Proportional to 21.69 and 47.64

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Solution

The third proportional to 21.69 and 47.64 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.69 : 47.64 = 47.64 : x
  2. Step 2: Convert to fraction form
    21.69/47.64 = 47.64/x
  3. Step 3: Cross multiply
    21.69x = 47.64 × 47.64
  4. Step 4: Simplify right side
    21.69x = 2,269.26
  5. Step 5: Solve for x
    x = 2,269.26/21.69
  6. Step 6: Final answer
    x = 104.62

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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.