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Finding the Third Proportional to 1,269.11 and 2,558.14

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Solution

The third proportional to 1,269.11 and 2,558.14 is: 5,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.11 : 2,558.14 = 2,558.14 : x
  2. Step 2: Convert to fraction form
    1,269.11/2,558.14 = 2,558.14/x
  3. Step 3: Cross multiply
    1,269.11x = 2,558.14 × 2,558.14
  4. Step 4: Simplify right side
    1,269.11x = 6,544,103.44
  5. Step 5: Solve for x
    x = 6,544,103.44/1,269.11
  6. Step 6: Final answer
    x = 5,156.47

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.