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Finding the Third Proportional to 21.69 and 30.47

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Solution

The third proportional to 21.69 and 30.47 is: 42.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.69 : 30.47 = 30.47 : x
  2. Step 2: Convert to fraction form
    21.69/30.47 = 30.47/x
  3. Step 3: Cross multiply
    21.69x = 30.47 × 30.47
  4. Step 4: Simplify right side
    21.69x = 928.34
  5. Step 5: Solve for x
    x = 928.34/21.69
  6. Step 6: Final answer
    x = 42.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.