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Finding the Third Proportional to 6,250.50 and 9,083.25

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Solution

The third proportional to 6,250.50 and 9,083.25 is: 13,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.50 : 9,083.25 = 9,083.25 : x
  2. Step 2: Convert to fraction form
    6,250.50/9,083.25 = 9,083.25/x
  3. Step 3: Cross multiply
    6,250.50x = 9,083.25 × 9,083.25
  4. Step 4: Simplify right side
    6,250.50x = 82,505,430.56
  5. Step 5: Solve for x
    x = 82,505,430.56/6,250.50
  6. Step 6: Final answer
    x = 13,199.81

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.