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Finding the Third Proportional to 5,113.97 and 10,744.31

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Solution

The third proportional to 5,113.97 and 10,744.31 is: 22,573.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.97 : 10,744.31 = 10,744.31 : x
  2. Step 2: Convert to fraction form
    5,113.97/10,744.31 = 10,744.31/x
  3. Step 3: Cross multiply
    5,113.97x = 10,744.31 × 10,744.31
  4. Step 4: Simplify right side
    5,113.97x = 115,440,251.10
  5. Step 5: Solve for x
    x = 115,440,251.10/5,113.97
  6. Step 6: Final answer
    x = 22,573.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.