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Finding the Third Proportional to 8,800 and 13,237

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Solution

The third proportional to 8,800 and 13,237 is: 19,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,800 : 13,237 = 13,237 : x
  2. Step 2: Convert to fraction form
    8,800/13,237 = 13,237/x
  3. Step 3: Cross multiply
    8,800x = 13,237 × 13,237
  4. Step 4: Simplify right side
    8,800x = 175,218,169
  5. Step 5: Solve for x
    x = 175,218,169/8,800
  6. Step 6: Final answer
    x = 19,911.16

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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.