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Finding the Third Proportional to 1,288.13 and 2,868.19

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Solution

The third proportional to 1,288.13 and 2,868.19 is: 6,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.13 : 2,868.19 = 2,868.19 : x
  2. Step 2: Convert to fraction form
    1,288.13/2,868.19 = 2,868.19/x
  3. Step 3: Cross multiply
    1,288.13x = 2,868.19 × 2,868.19
  4. Step 4: Simplify right side
    1,288.13x = 8,226,499.54
  5. Step 5: Solve for x
    x = 8,226,499.54/1,288.13
  6. Step 6: Final answer
    x = 6,386.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.