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Finding the Third Proportional to 33,699 and 71,718

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Solution

The third proportional to 33,699 and 71,718 is: 152,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,699 : 71,718 = 71,718 : x
  2. Step 2: Convert to fraction form
    33,699/71,718 = 71,718/x
  3. Step 3: Cross multiply
    33,699x = 71,718 × 71,718
  4. Step 4: Simplify right side
    33,699x = 5,143,471,524
  5. Step 5: Solve for x
    x = 5,143,471,524/33,699
  6. Step 6: Final answer
    x = 152,629.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.