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Finding the Third Proportional to 5,764.50 and 9,623.25

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Solution

The third proportional to 5,764.50 and 9,623.25 is: 16,065.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.50 : 9,623.25 = 9,623.25 : x
  2. Step 2: Convert to fraction form
    5,764.50/9,623.25 = 9,623.25/x
  3. Step 3: Cross multiply
    5,764.50x = 9,623.25 × 9,623.25
  4. Step 4: Simplify right side
    5,764.50x = 92,606,940.56
  5. Step 5: Solve for x
    x = 92,606,940.56/5,764.50
  6. Step 6: Final answer
    x = 16,065.04

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.