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Finding the Third Proportional to 11,682.56 and 18,572.06

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Solution

The third proportional to 11,682.56 and 18,572.06 is: 29,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.56 : 18,572.06 = 18,572.06 : x
  2. Step 2: Convert to fraction form
    11,682.56/18,572.06 = 18,572.06/x
  3. Step 3: Cross multiply
    11,682.56x = 18,572.06 × 18,572.06
  4. Step 4: Simplify right side
    11,682.56x = 344,921,505.50
  5. Step 5: Solve for x
    x = 344,921,505.50/11,682.56
  6. Step 6: Final answer
    x = 29,524.47

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.