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Finding the Third Proportional to 4,948 and 11,978

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Solution

The third proportional to 4,948 and 11,978 is: 28,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948 : 11,978 = 11,978 : x
  2. Step 2: Convert to fraction form
    4,948/11,978 = 11,978/x
  3. Step 3: Cross multiply
    4,948x = 11,978 × 11,978
  4. Step 4: Simplify right side
    4,948x = 143,472,484
  5. Step 5: Solve for x
    x = 143,472,484/4,948
  6. Step 6: Final answer
    x = 28,996.06

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.