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Finding the Third Proportional to 12,222.14 and 18,912.23

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Solution

The third proportional to 12,222.14 and 18,912.23 is: 29,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.14 : 18,912.23 = 18,912.23 : x
  2. Step 2: Convert to fraction form
    12,222.14/18,912.23 = 18,912.23/x
  3. Step 3: Cross multiply
    12,222.14x = 18,912.23 × 18,912.23
  4. Step 4: Simplify right side
    12,222.14x = 357,672,609.05
  5. Step 5: Solve for x
    x = 357,672,609.05/12,222.14
  6. Step 6: Final answer
    x = 29,264.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.