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Finding the Third Proportional to 6,960.50 and 10,056.75

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Solution

The third proportional to 6,960.50 and 10,056.75 is: 14,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.50 : 10,056.75 = 10,056.75 : x
  2. Step 2: Convert to fraction form
    6,960.50/10,056.75 = 10,056.75/x
  3. Step 3: Cross multiply
    6,960.50x = 10,056.75 × 10,056.75
  4. Step 4: Simplify right side
    6,960.50x = 101,138,220.56
  5. Step 5: Solve for x
    x = 101,138,220.56/6,960.50
  6. Step 6: Final answer
    x = 14,530.31

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.