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Finding the Third Proportional to 20,783 and 27,852

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Solution

The third proportional to 20,783 and 27,852 is: 37,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783 : 27,852 = 27,852 : x
  2. Step 2: Convert to fraction form
    20,783/27,852 = 27,852/x
  3. Step 3: Cross multiply
    20,783x = 27,852 × 27,852
  4. Step 4: Simplify right side
    20,783x = 775,733,904
  5. Step 5: Solve for x
    x = 775,733,904/20,783
  6. Step 6: Final answer
    x = 37,325.41

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.