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Finding the Third Proportional to 17,678 and 24,779

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Solution

The third proportional to 17,678 and 24,779 is: 34,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678 : 24,779 = 24,779 : x
  2. Step 2: Convert to fraction form
    17,678/24,779 = 24,779/x
  3. Step 3: Cross multiply
    17,678x = 24,779 × 24,779
  4. Step 4: Simplify right side
    17,678x = 613,998,841
  5. Step 5: Solve for x
    x = 613,998,841/17,678
  6. Step 6: Final answer
    x = 34,732.37

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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.