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Finding the Third Proportional to 1,245.94 and 2,620.97

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Solution

The third proportional to 1,245.94 and 2,620.97 is: 5,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.94 : 2,620.97 = 2,620.97 : x
  2. Step 2: Convert to fraction form
    1,245.94/2,620.97 = 2,620.97/x
  3. Step 3: Cross multiply
    1,245.94x = 2,620.97 × 2,620.97
  4. Step 4: Simplify right side
    1,245.94x = 6,869,477.19
  5. Step 5: Solve for x
    x = 6,869,477.19/1,245.94
  6. Step 6: Final answer
    x = 5,513.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.