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Finding the Third Proportional to 129,714 and 197,229

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Solution

The third proportional to 129,714 and 197,229 is: 299,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714 : 197,229 = 197,229 : x
  2. Step 2: Convert to fraction form
    129,714/197,229 = 197,229/x
  3. Step 3: Cross multiply
    129,714x = 197,229 × 197,229
  4. Step 4: Simplify right side
    129,714x = 38,899,278,441
  5. Step 5: Solve for x
    x = 38,899,278,441/129,714
  6. Step 6: Final answer
    x = 299,884.97

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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.