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Finding the Third Proportional to 8,856 and 13,240

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Solution

The third proportional to 8,856 and 13,240 is: 19,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856 : 13,240 = 13,240 : x
  2. Step 2: Convert to fraction form
    8,856/13,240 = 13,240/x
  3. Step 3: Cross multiply
    8,856x = 13,240 × 13,240
  4. Step 4: Simplify right side
    8,856x = 175,297,600
  5. Step 5: Solve for x
    x = 175,297,600/8,856
  6. Step 6: Final answer
    x = 19,794.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.