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Finding the Third Proportional to 13,678.88 and 20,619.56

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Solution

The third proportional to 13,678.88 and 20,619.56 is: 31,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.88 : 20,619.56 = 20,619.56 : x
  2. Step 2: Convert to fraction form
    13,678.88/20,619.56 = 20,619.56/x
  3. Step 3: Cross multiply
    13,678.88x = 20,619.56 × 20,619.56
  4. Step 4: Simplify right side
    13,678.88x = 425,166,357.69
  5. Step 5: Solve for x
    x = 425,166,357.69/13,678.88
  6. Step 6: Final answer
    x = 31,081.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.