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Finding the Third Proportional to 33,381 and 77,620.50

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Solution

The third proportional to 33,381 and 77,620.50 is: 180,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381 : 77,620.50 = 77,620.50 : x
  2. Step 2: Convert to fraction form
    33,381/77,620.50 = 77,620.50/x
  3. Step 3: Cross multiply
    33,381x = 77,620.50 × 77,620.50
  4. Step 4: Simplify right side
    33,381x = 6,024,942,020.25
  5. Step 5: Solve for x
    x = 6,024,942,020.25/33,381
  6. Step 6: Final answer
    x = 180,490.16

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.