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Finding the Third Proportional to 13,611 and 21,922.50

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Solution

The third proportional to 13,611 and 21,922.50 is: 35,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611 : 21,922.50 = 21,922.50 : x
  2. Step 2: Convert to fraction form
    13,611/21,922.50 = 21,922.50/x
  3. Step 3: Cross multiply
    13,611x = 21,922.50 × 21,922.50
  4. Step 4: Simplify right side
    13,611x = 480,596,006.25
  5. Step 5: Solve for x
    x = 480,596,006.25/13,611
  6. Step 6: Final answer
    x = 35,309.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.