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Finding the Third Proportional to 8,529.75 and 12,540.38

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Solution

The third proportional to 8,529.75 and 12,540.38 is: 18,436.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.75 : 12,540.38 = 12,540.38 : x
  2. Step 2: Convert to fraction form
    8,529.75/12,540.38 = 12,540.38/x
  3. Step 3: Cross multiply
    8,529.75x = 12,540.38 × 12,540.38
  4. Step 4: Simplify right side
    8,529.75x = 157,261,005.14
  5. Step 5: Solve for x
    x = 157,261,005.14/8,529.75
  6. Step 6: Final answer
    x = 18,436.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.