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Finding the Third Proportional to 77,930 and 113,979

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Solution

The third proportional to 77,930 and 113,979 is: 166,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,930 : 113,979 = 113,979 : x
  2. Step 2: Convert to fraction form
    77,930/113,979 = 113,979/x
  3. Step 3: Cross multiply
    77,930x = 113,979 × 113,979
  4. Step 4: Simplify right side
    77,930x = 12,991,212,441
  5. Step 5: Solve for x
    x = 12,991,212,441/77,930
  6. Step 6: Final answer
    x = 166,703.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.