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Finding the Third Proportional to 195,138 and 285,249

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Solution

The third proportional to 195,138 and 285,249 is: 416,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,138 : 285,249 = 285,249 : x
  2. Step 2: Convert to fraction form
    195,138/285,249 = 285,249/x
  3. Step 3: Cross multiply
    195,138x = 285,249 × 285,249
  4. Step 4: Simplify right side
    195,138x = 81,366,992,001
  5. Step 5: Solve for x
    x = 81,366,992,001/195,138
  6. Step 6: Final answer
    x = 416,971.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.