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Finding the Third Proportional to 195,687 and 419,805

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Solution

The third proportional to 195,687 and 419,805 is: 900,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,687 : 419,805 = 419,805 : x
  2. Step 2: Convert to fraction form
    195,687/419,805 = 419,805/x
  3. Step 3: Cross multiply
    195,687x = 419,805 × 419,805
  4. Step 4: Simplify right side
    195,687x = 176,236,238,025
  5. Step 5: Solve for x
    x = 176,236,238,025/195,687
  6. Step 6: Final answer
    x = 900,602.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.