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Finding the Third Proportional to 2,781.38 and 4,331.63

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Solution

The third proportional to 2,781.38 and 4,331.63 is: 6,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.38 : 4,331.63 = 4,331.63 : x
  2. Step 2: Convert to fraction form
    2,781.38/4,331.63 = 4,331.63/x
  3. Step 3: Cross multiply
    2,781.38x = 4,331.63 × 4,331.63
  4. Step 4: Simplify right side
    2,781.38x = 18,762,975.14
  5. Step 5: Solve for x
    x = 18,762,975.14/2,781.38
  6. Step 6: Final answer
    x = 6,745.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.