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Finding the Third Proportional to 3,766.50 and 8,053.88

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Solution

The third proportional to 3,766.50 and 8,053.88 is: 17,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.50 : 8,053.88 = 8,053.88 : x
  2. Step 2: Convert to fraction form
    3,766.50/8,053.88 = 8,053.88/x
  3. Step 3: Cross multiply
    3,766.50x = 8,053.88 × 8,053.88
  4. Step 4: Simplify right side
    3,766.50x = 64,864,902.52
  5. Step 5: Solve for x
    x = 64,864,902.52/3,766.50
  6. Step 6: Final answer
    x = 17,221.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.