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Finding the Third Proportional to 14,338 and 33,509

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Solution

The third proportional to 14,338 and 33,509 is: 78,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338 : 33,509 = 33,509 : x
  2. Step 2: Convert to fraction form
    14,338/33,509 = 33,509/x
  3. Step 3: Cross multiply
    14,338x = 33,509 × 33,509
  4. Step 4: Simplify right side
    14,338x = 1,122,853,081
  5. Step 5: Solve for x
    x = 1,122,853,081/14,338
  6. Step 6: Final answer
    x = 78,313.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.