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Finding the Third Proportional to 129,852 and 197,192

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Solution

The third proportional to 129,852 and 197,192 is: 299,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852 : 197,192 = 197,192 : x
  2. Step 2: Convert to fraction form
    129,852/197,192 = 197,192/x
  3. Step 3: Cross multiply
    129,852x = 197,192 × 197,192
  4. Step 4: Simplify right side
    129,852x = 38,884,684,864
  5. Step 5: Solve for x
    x = 38,884,684,864/129,852
  6. Step 6: Final answer
    x = 299,453.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.