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Finding the Third Proportional to 11,673.84 and 25,801.03

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Solution

The third proportional to 11,673.84 and 25,801.03 is: 57,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.84 : 25,801.03 = 25,801.03 : x
  2. Step 2: Convert to fraction form
    11,673.84/25,801.03 = 25,801.03/x
  3. Step 3: Cross multiply
    11,673.84x = 25,801.03 × 25,801.03
  4. Step 4: Simplify right side
    11,673.84x = 665,693,213.56
  5. Step 5: Solve for x
    x = 665,693,213.56/11,673.84
  6. Step 6: Final answer
    x = 57,024.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.