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Finding the Third Proportional to 1,297.69 and 2,838.38

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Solution

The third proportional to 1,297.69 and 2,838.38 is: 6,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.69 : 2,838.38 = 2,838.38 : x
  2. Step 2: Convert to fraction form
    1,297.69/2,838.38 = 2,838.38/x
  3. Step 3: Cross multiply
    1,297.69x = 2,838.38 × 2,838.38
  4. Step 4: Simplify right side
    1,297.69x = 8,056,372.64
  5. Step 5: Solve for x
    x = 8,056,372.64/1,297.69
  6. Step 6: Final answer
    x = 6,208.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.