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Finding the Third Proportional to 3,776.75 and 8,100.06

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Solution

The third proportional to 3,776.75 and 8,100.06 is: 17,372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.75 : 8,100.06 = 8,100.06 : x
  2. Step 2: Convert to fraction form
    3,776.75/8,100.06 = 8,100.06/x
  3. Step 3: Cross multiply
    3,776.75x = 8,100.06 × 8,100.06
  4. Step 4: Simplify right side
    3,776.75x = 65,611,012.50
  5. Step 5: Solve for x
    x = 65,611,012.50/3,776.75
  6. Step 6: Final answer
    x = 17,372.35

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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.