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Finding the Third Proportional to 400,982 and 835,136

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Solution

The third proportional to 400,982 and 835,136 is: 1,739,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,982 : 835,136 = 835,136 : x
  2. Step 2: Convert to fraction form
    400,982/835,136 = 835,136/x
  3. Step 3: Cross multiply
    400,982x = 835,136 × 835,136
  4. Step 4: Simplify right side
    400,982x = 697,452,138,496
  5. Step 5: Solve for x
    x = 697,452,138,496/400,982
  6. Step 6: Final answer
    x = 1,739,360.22

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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.