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Finding the Third Proportional to 6,033.50 and 7,952.25

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Solution

The third proportional to 6,033.50 and 7,952.25 is: 10,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.50 : 7,952.25 = 7,952.25 : x
  2. Step 2: Convert to fraction form
    6,033.50/7,952.25 = 7,952.25/x
  3. Step 3: Cross multiply
    6,033.50x = 7,952.25 × 7,952.25
  4. Step 4: Simplify right side
    6,033.50x = 63,238,280.06
  5. Step 5: Solve for x
    x = 63,238,280.06/6,033.50
  6. Step 6: Final answer
    x = 10,481.19

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.