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Finding the Third Proportional to 33,480.84 and 51,884.30

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Solution

The third proportional to 33,480.84 and 51,884.30 is: 80,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,480.84 : 51,884.30 = 51,884.30 : x
  2. Step 2: Convert to fraction form
    33,480.84/51,884.30 = 51,884.30/x
  3. Step 3: Cross multiply
    33,480.84x = 51,884.30 × 51,884.30
  4. Step 4: Simplify right side
    33,480.84x = 2,691,980,262.21
  5. Step 5: Solve for x
    x = 2,691,980,262.21/33,480.84
  6. Step 6: Final answer
    x = 80,403.60

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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.