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Finding the Third Proportional to 78,162 and 120,979

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Solution

The third proportional to 78,162 and 120,979 is: 187,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,162 : 120,979 = 120,979 : x
  2. Step 2: Convert to fraction form
    78,162/120,979 = 120,979/x
  3. Step 3: Cross multiply
    78,162x = 120,979 × 120,979
  4. Step 4: Simplify right side
    78,162x = 14,635,918,441
  5. Step 5: Solve for x
    x = 14,635,918,441/78,162
  6. Step 6: Final answer
    x = 187,251.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.