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Finding the Third Proportional to 13,546.13 and 18,453.94

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Solution

The third proportional to 13,546.13 and 18,453.94 is: 25,139.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.13 : 18,453.94 = 18,453.94 : x
  2. Step 2: Convert to fraction form
    13,546.13/18,453.94 = 18,453.94/x
  3. Step 3: Cross multiply
    13,546.13x = 18,453.94 × 18,453.94
  4. Step 4: Simplify right side
    13,546.13x = 340,547,809.25
  5. Step 5: Solve for x
    x = 340,547,809.25/13,546.13
  6. Step 6: Final answer
    x = 25,139.87

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.