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Finding the Third Proportional to 4,739 and 5,171

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Solution

The third proportional to 4,739 and 5,171 is: 5,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739 : 5,171 = 5,171 : x
  2. Step 2: Convert to fraction form
    4,739/5,171 = 5,171/x
  3. Step 3: Cross multiply
    4,739x = 5,171 × 5,171
  4. Step 4: Simplify right side
    4,739x = 26,739,241
  5. Step 5: Solve for x
    x = 26,739,241/4,739
  6. Step 6: Final answer
    x = 5,642.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.