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Finding the Third Proportional to 33,044.20 and 53,194.22

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Solution

The third proportional to 33,044.20 and 53,194.22 is: 85,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044.20 : 53,194.22 = 53,194.22 : x
  2. Step 2: Convert to fraction form
    33,044.20/53,194.22 = 53,194.22/x
  3. Step 3: Cross multiply
    33,044.20x = 53,194.22 × 53,194.22
  4. Step 4: Simplify right side
    33,044.20x = 2,829,624,908.42
  5. Step 5: Solve for x
    x = 2,829,624,908.42/33,044.20
  6. Step 6: Final answer
    x = 85,631.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.