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Finding the Third Proportional to 1,282.39 and 2,769.82

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Solution

The third proportional to 1,282.39 and 2,769.82 is: 5,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.39 : 2,769.82 = 2,769.82 : x
  2. Step 2: Convert to fraction form
    1,282.39/2,769.82 = 2,769.82/x
  3. Step 3: Cross multiply
    1,282.39x = 2,769.82 × 2,769.82
  4. Step 4: Simplify right side
    1,282.39x = 7,671,904.56
  5. Step 5: Solve for x
    x = 7,671,904.56/1,282.39
  6. Step 6: Final answer
    x = 5,982.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.