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Finding the Third Proportional to 15,170 and 21,779

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Solution

The third proportional to 15,170 and 21,779 is: 31,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170 : 21,779 = 21,779 : x
  2. Step 2: Convert to fraction form
    15,170/21,779 = 21,779/x
  3. Step 3: Cross multiply
    15,170x = 21,779 × 21,779
  4. Step 4: Simplify right side
    15,170x = 474,324,841
  5. Step 5: Solve for x
    x = 474,324,841/15,170
  6. Step 6: Final answer
    x = 31,267.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.