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Finding the Third Proportional to 5,109.75 and 11,095.31

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Solution

The third proportional to 5,109.75 and 11,095.31 is: 24,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.75 : 11,095.31 = 11,095.31 : x
  2. Step 2: Convert to fraction form
    5,109.75/11,095.31 = 11,095.31/x
  3. Step 3: Cross multiply
    5,109.75x = 11,095.31 × 11,095.31
  4. Step 4: Simplify right side
    5,109.75x = 123,105,959.47
  5. Step 5: Solve for x
    x = 123,105,959.47/5,109.75
  6. Step 6: Final answer
    x = 24,092.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.