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Finding the Third Proportional to 405,010 and 835,940

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Solution

The third proportional to 405,010 and 835,940 is: 1,725,378.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,010 : 835,940 = 835,940 : x
  2. Step 2: Convert to fraction form
    405,010/835,940 = 835,940/x
  3. Step 3: Cross multiply
    405,010x = 835,940 × 835,940
  4. Step 4: Simplify right side
    405,010x = 698,795,683,600
  5. Step 5: Solve for x
    x = 698,795,683,600/405,010
  6. Step 6: Final answer
    x = 1,725,378.84

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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.