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Finding the Third Proportional to 18,243.56 and 23,311.13

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Solution

The third proportional to 18,243.56 and 23,311.13 is: 29,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,243.56 : 23,311.13 = 23,311.13 : x
  2. Step 2: Convert to fraction form
    18,243.56/23,311.13 = 23,311.13/x
  3. Step 3: Cross multiply
    18,243.56x = 23,311.13 × 23,311.13
  4. Step 4: Simplify right side
    18,243.56x = 543,408,548.77
  5. Step 5: Solve for x
    x = 543,408,548.77/18,243.56
  6. Step 6: Final answer
    x = 29,786.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.