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Finding the Third Proportional to 8,828 and 11,987

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Solution

The third proportional to 8,828 and 11,987 is: 16,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828 : 11,987 = 11,987 : x
  2. Step 2: Convert to fraction form
    8,828/11,987 = 11,987/x
  3. Step 3: Cross multiply
    8,828x = 11,987 × 11,987
  4. Step 4: Simplify right side
    8,828x = 143,688,169
  5. Step 5: Solve for x
    x = 143,688,169/8,828
  6. Step 6: Final answer
    x = 16,276.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.