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Finding the Third Proportional to 405,008 and 835,936

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Solution

The third proportional to 405,008 and 835,936 is: 1,725,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,008 : 835,936 = 835,936 : x
  2. Step 2: Convert to fraction form
    405,008/835,936 = 835,936/x
  3. Step 3: Cross multiply
    405,008x = 835,936 × 835,936
  4. Step 4: Simplify right side
    405,008x = 698,788,996,096
  5. Step 5: Solve for x
    x = 698,788,996,096/405,008
  6. Step 6: Final answer
    x = 1,725,370.85

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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.