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Finding the Third Proportional to 76,979 and 169,078

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Solution

The third proportional to 76,979 and 169,078 is: 371,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,979 : 169,078 = 169,078 : x
  2. Step 2: Convert to fraction form
    76,979/169,078 = 169,078/x
  3. Step 3: Cross multiply
    76,979x = 169,078 × 169,078
  4. Step 4: Simplify right side
    76,979x = 28,587,370,084
  5. Step 5: Solve for x
    x = 28,587,370,084/76,979
  6. Step 6: Final answer
    x = 371,365.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.