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Finding the Third Proportional to 1,318.78 and 3,262.78

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Solution

The third proportional to 1,318.78 and 3,262.78 is: 8,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.78 : 3,262.78 = 3,262.78 : x
  2. Step 2: Convert to fraction form
    1,318.78/3,262.78 = 3,262.78/x
  3. Step 3: Cross multiply
    1,318.78x = 3,262.78 × 3,262.78
  4. Step 4: Simplify right side
    1,318.78x = 10,645,741.49
  5. Step 5: Solve for x
    x = 10,645,741.49/1,318.78
  6. Step 6: Final answer
    x = 8,072.41

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.