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Finding the Third Proportional to 78,808 and 117,932

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Solution

The third proportional to 78,808 and 117,932 is: 176,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,808 : 117,932 = 117,932 : x
  2. Step 2: Convert to fraction form
    78,808/117,932 = 117,932/x
  3. Step 3: Cross multiply
    78,808x = 117,932 × 117,932
  4. Step 4: Simplify right side
    78,808x = 13,907,956,624
  5. Step 5: Solve for x
    x = 13,907,956,624/78,808
  6. Step 6: Final answer
    x = 176,478.99

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