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Finding the Third Proportional to 4,072.78 and 5,683.92

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Solution

The third proportional to 4,072.78 and 5,683.92 is: 7,932.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.78 : 5,683.92 = 5,683.92 : x
  2. Step 2: Convert to fraction form
    4,072.78/5,683.92 = 5,683.92/x
  3. Step 3: Cross multiply
    4,072.78x = 5,683.92 × 5,683.92
  4. Step 4: Simplify right side
    4,072.78x = 32,306,967.88
  5. Step 5: Solve for x
    x = 32,306,967.88/4,072.78
  6. Step 6: Final answer
    x = 7,932.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.