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Finding the Third Proportional to 81,733.50 and 109,620

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Solution

The third proportional to 81,733.50 and 109,620 is: 147,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,733.50 : 109,620 = 109,620 : x
  2. Step 2: Convert to fraction form
    81,733.50/109,620 = 109,620/x
  3. Step 3: Cross multiply
    81,733.50x = 109,620 × 109,620
  4. Step 4: Simplify right side
    81,733.50x = 12,016,544,400
  5. Step 5: Solve for x
    x = 12,016,544,400/81,733.50
  6. Step 6: Final answer
    x = 147,021.04

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.