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Finding the Third Proportional to 129,822 and 197,172

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Solution

The third proportional to 129,822 and 197,172 is: 299,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,822 : 197,172 = 197,172 : x
  2. Step 2: Convert to fraction form
    129,822/197,172 = 197,172/x
  3. Step 3: Cross multiply
    129,822x = 197,172 × 197,172
  4. Step 4: Simplify right side
    129,822x = 38,876,797,584
  5. Step 5: Solve for x
    x = 38,876,797,584/129,822
  6. Step 6: Final answer
    x = 299,462.32

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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.