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Finding the Third Proportional to 79,857 and 119,787

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Solution

The third proportional to 79,857 and 119,787 is: 179,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,857 : 119,787 = 119,787 : x
  2. Step 2: Convert to fraction form
    79,857/119,787 = 119,787/x
  3. Step 3: Cross multiply
    79,857x = 119,787 × 119,787
  4. Step 4: Simplify right side
    79,857x = 14,348,925,369
  5. Step 5: Solve for x
    x = 14,348,925,369/79,857
  6. Step 6: Final answer
    x = 179,682.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.