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Finding the Third Proportional to 3,170 and 4,978

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Solution

The third proportional to 3,170 and 4,978 is: 7,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,978 = 4,978 : x
  2. Step 2: Convert to fraction form
    3,170/4,978 = 4,978/x
  3. Step 3: Cross multiply
    3,170x = 4,978 × 4,978
  4. Step 4: Simplify right side
    3,170x = 24,780,484
  5. Step 5: Solve for x
    x = 24,780,484/3,170
  6. Step 6: Final answer
    x = 7,817.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.