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Finding the Third Proportional to 7,707 and 17,979

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Solution

The third proportional to 7,707 and 17,979 is: 41,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 17,979 = 17,979 : x
  2. Step 2: Convert to fraction form
    7,707/17,979 = 17,979/x
  3. Step 3: Cross multiply
    7,707x = 17,979 × 17,979
  4. Step 4: Simplify right side
    7,707x = 323,244,441
  5. Step 5: Solve for x
    x = 323,244,441/7,707
  6. Step 6: Final answer
    x = 41,941.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.