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Finding the Third Proportional to 13,240.97 and 18,520.31

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Solution

The third proportional to 13,240.97 and 18,520.31 is: 25,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,240.97 : 18,520.31 = 18,520.31 : x
  2. Step 2: Convert to fraction form
    13,240.97/18,520.31 = 18,520.31/x
  3. Step 3: Cross multiply
    13,240.97x = 18,520.31 × 18,520.31
  4. Step 4: Simplify right side
    13,240.97x = 343,001,975.10
  5. Step 5: Solve for x
    x = 343,001,975.10/13,240.97
  6. Step 6: Final answer
    x = 25,904.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.