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Finding the Third Proportional to 17,831 and 27,720.50

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Solution

The third proportional to 17,831 and 27,720.50 is: 43,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,831 : 27,720.50 = 27,720.50 : x
  2. Step 2: Convert to fraction form
    17,831/27,720.50 = 27,720.50/x
  3. Step 3: Cross multiply
    17,831x = 27,720.50 × 27,720.50
  4. Step 4: Simplify right side
    17,831x = 768,426,120.25
  5. Step 5: Solve for x
    x = 768,426,120.25/17,831
  6. Step 6: Final answer
    x = 43,094.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.