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Finding the Third Proportional to 8,906 and 13,311

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Solution

The third proportional to 8,906 and 13,311 is: 19,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906 : 13,311 = 13,311 : x
  2. Step 2: Convert to fraction form
    8,906/13,311 = 13,311/x
  3. Step 3: Cross multiply
    8,906x = 13,311 × 13,311
  4. Step 4: Simplify right side
    8,906x = 177,182,721
  5. Step 5: Solve for x
    x = 177,182,721/8,906
  6. Step 6: Final answer
    x = 19,894.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.