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Finding the Third Proportional to 77,668 and 117,944

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Solution

The third proportional to 77,668 and 117,944 is: 179,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668 : 117,944 = 117,944 : x
  2. Step 2: Convert to fraction form
    77,668/117,944 = 117,944/x
  3. Step 3: Cross multiply
    77,668x = 117,944 × 117,944
  4. Step 4: Simplify right side
    77,668x = 13,910,787,136
  5. Step 5: Solve for x
    x = 13,910,787,136/77,668
  6. Step 6: Final answer
    x = 179,105.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.