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Finding the Third Proportional to 7,661.50 and 8,208.50

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Solution

The third proportional to 7,661.50 and 8,208.50 is: 8,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.50 : 8,208.50 = 8,208.50 : x
  2. Step 2: Convert to fraction form
    7,661.50/8,208.50 = 8,208.50/x
  3. Step 3: Cross multiply
    7,661.50x = 8,208.50 × 8,208.50
  4. Step 4: Simplify right side
    7,661.50x = 67,379,472.25
  5. Step 5: Solve for x
    x = 67,379,472.25/7,661.50
  6. Step 6: Final answer
    x = 8,794.55

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.