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Finding the Third Proportional to 13,785.75 and 22,662

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Solution

The third proportional to 13,785.75 and 22,662 is: 37,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.75 : 22,662 = 22,662 : x
  2. Step 2: Convert to fraction form
    13,785.75/22,662 = 22,662/x
  3. Step 3: Cross multiply
    13,785.75x = 22,662 × 22,662
  4. Step 4: Simplify right side
    13,785.75x = 513,566,244
  5. Step 5: Solve for x
    x = 513,566,244/13,785.75
  6. Step 6: Final answer
    x = 37,253.41

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.