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Finding the Third Proportional to 12,190.50 and 18,635.06

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Solution

The third proportional to 12,190.50 and 18,635.06 is: 28,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,190.50 : 18,635.06 = 18,635.06 : x
  2. Step 2: Convert to fraction form
    12,190.50/18,635.06 = 18,635.06/x
  3. Step 3: Cross multiply
    12,190.50x = 18,635.06 × 18,635.06
  4. Step 4: Simplify right side
    12,190.50x = 347,265,554.38
  5. Step 5: Solve for x
    x = 347,265,554.38/12,190.50
  6. Step 6: Final answer
    x = 28,486.57

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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.