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Finding the Third Proportional to 8,436.38 and 12,584.81

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Solution

The third proportional to 8,436.38 and 12,584.81 is: 18,773.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.38 : 12,584.81 = 12,584.81 : x
  2. Step 2: Convert to fraction form
    8,436.38/12,584.81 = 12,584.81/x
  3. Step 3: Cross multiply
    8,436.38x = 12,584.81 × 12,584.81
  4. Step 4: Simplify right side
    8,436.38x = 158,377,505.66
  5. Step 5: Solve for x
    x = 158,377,505.66/8,436.38
  6. Step 6: Final answer
    x = 18,773.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.