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Finding the Third Proportional to 3,171.38 and 4,757.63

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Solution

The third proportional to 3,171.38 and 4,757.63 is: 7,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.38 : 4,757.63 = 4,757.63 : x
  2. Step 2: Convert to fraction form
    3,171.38/4,757.63 = 4,757.63/x
  3. Step 3: Cross multiply
    3,171.38x = 4,757.63 × 4,757.63
  4. Step 4: Simplify right side
    3,171.38x = 22,634,995.64
  5. Step 5: Solve for x
    x = 22,634,995.64/3,171.38
  6. Step 6: Final answer
    x = 7,137.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.