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Finding the Third Proportional to 132,940 and 197,322

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Solution

The third proportional to 132,940 and 197,322 is: 292,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,940 : 197,322 = 197,322 : x
  2. Step 2: Convert to fraction form
    132,940/197,322 = 197,322/x
  3. Step 3: Cross multiply
    132,940x = 197,322 × 197,322
  4. Step 4: Simplify right side
    132,940x = 38,935,971,684
  5. Step 5: Solve for x
    x = 38,935,971,684/132,940
  6. Step 6: Final answer
    x = 292,883.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.