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Finding the Third Proportional to 7,124.25 and 8,190.75

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Solution

The third proportional to 7,124.25 and 8,190.75 is: 9,416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.25 : 8,190.75 = 8,190.75 : x
  2. Step 2: Convert to fraction form
    7,124.25/8,190.75 = 8,190.75/x
  3. Step 3: Cross multiply
    7,124.25x = 8,190.75 × 8,190.75
  4. Step 4: Simplify right side
    7,124.25x = 67,088,385.56
  5. Step 5: Solve for x
    x = 67,088,385.56/7,124.25
  6. Step 6: Final answer
    x = 9,416.91

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.