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Finding the Third Proportional to 10,744.31 and 23,127.19

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Solution

The third proportional to 10,744.31 and 23,127.19 is: 49,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.31 : 23,127.19 = 23,127.19 : x
  2. Step 2: Convert to fraction form
    10,744.31/23,127.19 = 23,127.19/x
  3. Step 3: Cross multiply
    10,744.31x = 23,127.19 × 23,127.19
  4. Step 4: Simplify right side
    10,744.31x = 534,866,801.66
  5. Step 5: Solve for x
    x = 534,866,801.66/10,744.31
  6. Step 6: Final answer
    x = 49,781.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.