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Finding the Third Proportional to 7,192.50 and 9,560.25

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Solution

The third proportional to 7,192.50 and 9,560.25 is: 12,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.50 : 9,560.25 = 9,560.25 : x
  2. Step 2: Convert to fraction form
    7,192.50/9,560.25 = 9,560.25/x
  3. Step 3: Cross multiply
    7,192.50x = 9,560.25 × 9,560.25
  4. Step 4: Simplify right side
    7,192.50x = 91,398,380.06
  5. Step 5: Solve for x
    x = 91,398,380.06/7,192.50
  6. Step 6: Final answer
    x = 12,707.46

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.