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Finding the Third Proportional to 2,548.13 and 3,797.72

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Solution

The third proportional to 2,548.13 and 3,797.72 is: 5,660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.13 : 3,797.72 = 3,797.72 : x
  2. Step 2: Convert to fraction form
    2,548.13/3,797.72 = 3,797.72/x
  3. Step 3: Cross multiply
    2,548.13x = 3,797.72 × 3,797.72
  4. Step 4: Simplify right side
    2,548.13x = 14,422,667.70
  5. Step 5: Solve for x
    x = 14,422,667.70/2,548.13
  6. Step 6: Final answer
    x = 5,660.11

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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.