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Finding the Third Proportional to 8,911.50 and 13,671

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Solution

The third proportional to 8,911.50 and 13,671 is: 20,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.50 : 13,671 = 13,671 : x
  2. Step 2: Convert to fraction form
    8,911.50/13,671 = 13,671/x
  3. Step 3: Cross multiply
    8,911.50x = 13,671 × 13,671
  4. Step 4: Simplify right side
    8,911.50x = 186,896,241
  5. Step 5: Solve for x
    x = 186,896,241/8,911.50
  6. Step 6: Final answer
    x = 20,972.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.