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Finding the Third Proportional to 1,288.09 and 2,742.77

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Solution

The third proportional to 1,288.09 and 2,742.77 is: 5,840.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.09 : 2,742.77 = 2,742.77 : x
  2. Step 2: Convert to fraction form
    1,288.09/2,742.77 = 2,742.77/x
  3. Step 3: Cross multiply
    1,288.09x = 2,742.77 × 2,742.77
  4. Step 4: Simplify right side
    1,288.09x = 7,522,773.99
  5. Step 5: Solve for x
    x = 7,522,773.99/1,288.09
  6. Step 6: Final answer
    x = 5,840.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.