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Finding the Third Proportional to 409,298 and 835,240

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Solution

The third proportional to 409,298 and 835,240 is: 1,704,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,298 : 835,240 = 835,240 : x
  2. Step 2: Convert to fraction form
    409,298/835,240 = 835,240/x
  3. Step 3: Cross multiply
    409,298x = 835,240 × 835,240
  4. Step 4: Simplify right side
    409,298x = 697,625,857,600
  5. Step 5: Solve for x
    x = 697,625,857,600/409,298
  6. Step 6: Final answer
    x = 1,704,444.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.