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Finding the Third Proportional to 6,232.50 and 12,990

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Solution

The third proportional to 6,232.50 and 12,990 is: 27,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.50 : 12,990 = 12,990 : x
  2. Step 2: Convert to fraction form
    6,232.50/12,990 = 12,990/x
  3. Step 3: Cross multiply
    6,232.50x = 12,990 × 12,990
  4. Step 4: Simplify right side
    6,232.50x = 168,740,100
  5. Step 5: Solve for x
    x = 168,740,100/6,232.50
  6. Step 6: Final answer
    x = 27,074.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.