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Finding the Third Proportional to 8,872.50 and 18,760.50

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Solution

The third proportional to 8,872.50 and 18,760.50 is: 39,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,872.50 : 18,760.50 = 18,760.50 : x
  2. Step 2: Convert to fraction form
    8,872.50/18,760.50 = 18,760.50/x
  3. Step 3: Cross multiply
    8,872.50x = 18,760.50 × 18,760.50
  4. Step 4: Simplify right side
    8,872.50x = 351,956,360.25
  5. Step 5: Solve for x
    x = 351,956,360.25/8,872.50
  6. Step 6: Final answer
    x = 39,668.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.