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Finding the Third Proportional to 401,298 and 835,811

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Solution

The third proportional to 401,298 and 835,811 is: 1,740,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,298 : 835,811 = 835,811 : x
  2. Step 2: Convert to fraction form
    401,298/835,811 = 835,811/x
  3. Step 3: Cross multiply
    401,298x = 835,811 × 835,811
  4. Step 4: Simplify right side
    401,298x = 698,580,027,721
  5. Step 5: Solve for x
    x = 698,580,027,721/401,298
  6. Step 6: Final answer
    x = 1,740,801.17

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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.