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Finding the Third Proportional to 18,275 and 39,322

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Solution

The third proportional to 18,275 and 39,322 is: 84,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,275 : 39,322 = 39,322 : x
  2. Step 2: Convert to fraction form
    18,275/39,322 = 39,322/x
  3. Step 3: Cross multiply
    18,275x = 39,322 × 39,322
  4. Step 4: Simplify right side
    18,275x = 1,546,219,684
  5. Step 5: Solve for x
    x = 1,546,219,684/18,275
  6. Step 6: Final answer
    x = 84,608.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.