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Finding the Third Proportional to 33,343.13 and 51,124.88

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Solution

The third proportional to 33,343.13 and 51,124.88 is: 78,389.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,343.13 : 51,124.88 = 51,124.88 : x
  2. Step 2: Convert to fraction form
    33,343.13/51,124.88 = 51,124.88/x
  3. Step 3: Cross multiply
    33,343.13x = 51,124.88 × 51,124.88
  4. Step 4: Simplify right side
    33,343.13x = 2,613,752,843.77
  5. Step 5: Solve for x
    x = 2,613,752,843.77/33,343.13
  6. Step 6: Final answer
    x = 78,389.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.