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Finding the Third Proportional to 15,337 and 21,749

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Solution

The third proportional to 15,337 and 21,749 is: 30,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,337 : 21,749 = 21,749 : x
  2. Step 2: Convert to fraction form
    15,337/21,749 = 21,749/x
  3. Step 3: Cross multiply
    15,337x = 21,749 × 21,749
  4. Step 4: Simplify right side
    15,337x = 473,019,001
  5. Step 5: Solve for x
    x = 473,019,001/15,337
  6. Step 6: Final answer
    x = 30,841.69

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.