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Finding the Third Proportional to 405,012 and 835,944

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Solution

The third proportional to 405,012 and 835,944 is: 1,725,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,012 : 835,944 = 835,944 : x
  2. Step 2: Convert to fraction form
    405,012/835,944 = 835,944/x
  3. Step 3: Cross multiply
    405,012x = 835,944 × 835,944
  4. Step 4: Simplify right side
    405,012x = 698,802,371,136
  5. Step 5: Solve for x
    x = 698,802,371,136/405,012
  6. Step 6: Final answer
    x = 1,725,386.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.