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Finding the Third Proportional to 7,940 and 18,322

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Solution

The third proportional to 7,940 and 18,322 is: 42,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940 : 18,322 = 18,322 : x
  2. Step 2: Convert to fraction form
    7,940/18,322 = 18,322/x
  3. Step 3: Cross multiply
    7,940x = 18,322 × 18,322
  4. Step 4: Simplify right side
    7,940x = 335,695,684
  5. Step 5: Solve for x
    x = 335,695,684/7,940
  6. Step 6: Final answer
    x = 42,279.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.