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Finding the Third Proportional to 11,211 and 15,711.50

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Solution

The third proportional to 11,211 and 15,711.50 is: 22,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211 : 15,711.50 = 15,711.50 : x
  2. Step 2: Convert to fraction form
    11,211/15,711.50 = 15,711.50/x
  3. Step 3: Cross multiply
    11,211x = 15,711.50 × 15,711.50
  4. Step 4: Simplify right side
    11,211x = 246,851,232.25
  5. Step 5: Solve for x
    x = 246,851,232.25/11,211
  6. Step 6: Final answer
    x = 22,018.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.