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Finding the Third Proportional to 22,448 and 32,692

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Solution

The third proportional to 22,448 and 32,692 is: 47,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448 : 32,692 = 32,692 : x
  2. Step 2: Convert to fraction form
    22,448/32,692 = 32,692/x
  3. Step 3: Cross multiply
    22,448x = 32,692 × 32,692
  4. Step 4: Simplify right side
    22,448x = 1,068,766,864
  5. Step 5: Solve for x
    x = 1,068,766,864/22,448
  6. Step 6: Final answer
    x = 47,610.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.