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Finding the Third Proportional to 401,295 and 835,805

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Solution

The third proportional to 401,295 and 835,805 is: 1,740,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,295 : 835,805 = 835,805 : x
  2. Step 2: Convert to fraction form
    401,295/835,805 = 835,805/x
  3. Step 3: Cross multiply
    401,295x = 835,805 × 835,805
  4. Step 4: Simplify right side
    401,295x = 698,569,998,025
  5. Step 5: Solve for x
    x = 698,569,998,025/401,295
  6. Step 6: Final answer
    x = 1,740,789.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.