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Finding the Third Proportional to 79,842 and 119,769

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Solution

The third proportional to 79,842 and 119,769 is: 179,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,842 : 119,769 = 119,769 : x
  2. Step 2: Convert to fraction form
    79,842/119,769 = 119,769/x
  3. Step 3: Cross multiply
    79,842x = 119,769 × 119,769
  4. Step 4: Simplify right side
    79,842x = 14,344,613,361
  5. Step 5: Solve for x
    x = 14,344,613,361/79,842
  6. Step 6: Final answer
    x = 179,662.50

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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.