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Finding the Third Proportional to 8,919.56 and 19,428.19

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Solution

The third proportional to 8,919.56 and 19,428.19 is: 42,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,919.56 : 19,428.19 = 19,428.19 : x
  2. Step 2: Convert to fraction form
    8,919.56/19,428.19 = 19,428.19/x
  3. Step 3: Cross multiply
    8,919.56x = 19,428.19 × 19,428.19
  4. Step 4: Simplify right side
    8,919.56x = 377,454,469.54
  5. Step 5: Solve for x
    x = 377,454,469.54/8,919.56
  6. Step 6: Final answer
    x = 42,317.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.