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Finding the Third Proportional to 410,016 and 840,444

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Solution

The third proportional to 410,016 and 840,444 is: 1,722,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,016 : 840,444 = 840,444 : x
  2. Step 2: Convert to fraction form
    410,016/840,444 = 840,444/x
  3. Step 3: Cross multiply
    410,016x = 840,444 × 840,444
  4. Step 4: Simplify right side
    410,016x = 706,346,117,136
  5. Step 5: Solve for x
    x = 706,346,117,136/410,016
  6. Step 6: Final answer
    x = 1,722,728.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.