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Finding the Third Proportional to 10,903 and 16,779

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Solution

The third proportional to 10,903 and 16,779 is: 25,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,903 : 16,779 = 16,779 : x
  2. Step 2: Convert to fraction form
    10,903/16,779 = 16,779/x
  3. Step 3: Cross multiply
    10,903x = 16,779 × 16,779
  4. Step 4: Simplify right side
    10,903x = 281,534,841
  5. Step 5: Solve for x
    x = 281,534,841/10,903
  6. Step 6: Final answer
    x = 25,821.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.