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Finding the Third Proportional to 18,969.19 and 27,747.56

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Solution

The third proportional to 18,969.19 and 27,747.56 is: 40,588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,969.19 : 27,747.56 = 27,747.56 : x
  2. Step 2: Convert to fraction form
    18,969.19/27,747.56 = 27,747.56/x
  3. Step 3: Cross multiply
    18,969.19x = 27,747.56 × 27,747.56
  4. Step 4: Simplify right side
    18,969.19x = 769,927,224.69
  5. Step 5: Solve for x
    x = 769,927,224.69/18,969.19
  6. Step 6: Final answer
    x = 40,588.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.