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Finding the Third Proportional to 33,198 and 51,403.50

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Solution

The third proportional to 33,198 and 51,403.50 is: 79,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,198 : 51,403.50 = 51,403.50 : x
  2. Step 2: Convert to fraction form
    33,198/51,403.50 = 51,403.50/x
  3. Step 3: Cross multiply
    33,198x = 51,403.50 × 51,403.50
  4. Step 4: Simplify right side
    33,198x = 2,642,319,812.25
  5. Step 5: Solve for x
    x = 2,642,319,812.25/33,198
  6. Step 6: Final answer
    x = 79,592.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.