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Finding the Third Proportional to 13,291 and 19,937

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Solution

The third proportional to 13,291 and 19,937 is: 29,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291 : 19,937 = 19,937 : x
  2. Step 2: Convert to fraction form
    13,291/19,937 = 19,937/x
  3. Step 3: Cross multiply
    13,291x = 19,937 × 19,937
  4. Step 4: Simplify right side
    13,291x = 397,483,969
  5. Step 5: Solve for x
    x = 397,483,969/13,291
  6. Step 6: Final answer
    x = 29,906.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.