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Finding the Third Proportional to 1,208.83 and 2,620.79

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Solution

The third proportional to 1,208.83 and 2,620.79 is: 5,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.83 : 2,620.79 = 2,620.79 : x
  2. Step 2: Convert to fraction form
    1,208.83/2,620.79 = 2,620.79/x
  3. Step 3: Cross multiply
    1,208.83x = 2,620.79 × 2,620.79
  4. Step 4: Simplify right side
    1,208.83x = 6,868,555.79
  5. Step 5: Solve for x
    x = 6,868,555.79/1,208.83
  6. Step 6: Final answer
    x = 5,681.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.