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Finding the Third Proportional to 4,979 and 7,771

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Solution

The third proportional to 4,979 and 7,771 is: 12,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979 : 7,771 = 7,771 : x
  2. Step 2: Convert to fraction form
    4,979/7,771 = 7,771/x
  3. Step 3: Cross multiply
    4,979x = 7,771 × 7,771
  4. Step 4: Simplify right side
    4,979x = 60,388,441
  5. Step 5: Solve for x
    x = 60,388,441/4,979
  6. Step 6: Final answer
    x = 12,128.63

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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.