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Finding the Third Proportional to 18,815.25 and 40,569

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Solution

The third proportional to 18,815.25 and 40,569 is: 87,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,815.25 : 40,569 = 40,569 : x
  2. Step 2: Convert to fraction form
    18,815.25/40,569 = 40,569/x
  3. Step 3: Cross multiply
    18,815.25x = 40,569 × 40,569
  4. Step 4: Simplify right side
    18,815.25x = 1,645,843,761
  5. Step 5: Solve for x
    x = 1,645,843,761/18,815.25
  6. Step 6: Final answer
    x = 87,473.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.