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Finding the Third Proportional to 10,744.31 and 23,562.56

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Solution

The third proportional to 10,744.31 and 23,562.56 is: 51,673.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.31 : 23,562.56 = 23,562.56 : x
  2. Step 2: Convert to fraction form
    10,744.31/23,562.56 = 23,562.56/x
  3. Step 3: Cross multiply
    10,744.31x = 23,562.56 × 23,562.56
  4. Step 4: Simplify right side
    10,744.31x = 555,194,351.57
  5. Step 5: Solve for x
    x = 555,194,351.57/10,744.31
  6. Step 6: Final answer
    x = 51,673.32

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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.