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Finding the Third Proportional to 77,978 and 117,802

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Solution

The third proportional to 77,978 and 117,802 is: 177,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978 : 117,802 = 117,802 : x
  2. Step 2: Convert to fraction form
    77,978/117,802 = 117,802/x
  3. Step 3: Cross multiply
    77,978x = 117,802 × 117,802
  4. Step 4: Simplify right side
    77,978x = 13,877,311,204
  5. Step 5: Solve for x
    x = 13,877,311,204/77,978
  6. Step 6: Final answer
    x = 177,964.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.