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Finding the Third Proportional to 7,188.75 and 8,376.75

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Solution

The third proportional to 7,188.75 and 8,376.75 is: 9,761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.75 : 8,376.75 = 8,376.75 : x
  2. Step 2: Convert to fraction form
    7,188.75/8,376.75 = 8,376.75/x
  3. Step 3: Cross multiply
    7,188.75x = 8,376.75 × 8,376.75
  4. Step 4: Simplify right side
    7,188.75x = 70,169,940.56
  5. Step 5: Solve for x
    x = 70,169,940.56/7,188.75
  6. Step 6: Final answer
    x = 9,761.08

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.