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Finding the Third Proportional to 21.84 and 47.48

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Solution

The third proportional to 21.84 and 47.48 is: 103.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 47.48 = 47.48 : x
  2. Step 2: Convert to fraction form
    21.84/47.48 = 47.48/x
  3. Step 3: Cross multiply
    21.84x = 47.48 × 47.48
  4. Step 4: Simplify right side
    21.84x = 2,254.77
  5. Step 5: Solve for x
    x = 2,254.77/21.84
  6. Step 6: Final answer
    x = 103.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.