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Finding the Third Proportional to 13,776.50 and 20,611

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Solution

The third proportional to 13,776.50 and 20,611 is: 30,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.50 : 20,611 = 20,611 : x
  2. Step 2: Convert to fraction form
    13,776.50/20,611 = 20,611/x
  3. Step 3: Cross multiply
    13,776.50x = 20,611 × 20,611
  4. Step 4: Simplify right side
    13,776.50x = 424,813,321
  5. Step 5: Solve for x
    x = 424,813,321/13,776.50
  6. Step 6: Final answer
    x = 30,836.08

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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.