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Finding the Third Proportional to 5,460.33 and 11,699.44

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Solution

The third proportional to 5,460.33 and 11,699.44 is: 25,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.33 : 11,699.44 = 11,699.44 : x
  2. Step 2: Convert to fraction form
    5,460.33/11,699.44 = 11,699.44/x
  3. Step 3: Cross multiply
    5,460.33x = 11,699.44 × 11,699.44
  4. Step 4: Simplify right side
    5,460.33x = 136,876,837.82
  5. Step 5: Solve for x
    x = 136,876,837.82/5,460.33
  6. Step 6: Final answer
    x = 25,067.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.