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Finding the Third Proportional to 407,790 and 844,254

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Solution

The third proportional to 407,790 and 844,254 is: 1,747,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,790 : 844,254 = 844,254 : x
  2. Step 2: Convert to fraction form
    407,790/844,254 = 844,254/x
  3. Step 3: Cross multiply
    407,790x = 844,254 × 844,254
  4. Step 4: Simplify right side
    407,790x = 712,764,816,516
  5. Step 5: Solve for x
    x = 712,764,816,516/407,790
  6. Step 6: Final answer
    x = 1,747,872.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.