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Finding the Third Proportional to 21.84 and 31.13

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Solution

The third proportional to 21.84 and 31.13 is: 44.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.84 : 31.13 = 31.13 : x
  2. Step 2: Convert to fraction form
    21.84/31.13 = 31.13/x
  3. Step 3: Cross multiply
    21.84x = 31.13 × 31.13
  4. Step 4: Simplify right side
    21.84x = 968.77
  5. Step 5: Solve for x
    x = 968.77/21.84
  6. Step 6: Final answer
    x = 44.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.