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Finding the Third Proportional to 407,621 and 587,131

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Solution

The third proportional to 407,621 and 587,131 is: 845,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,621 : 587,131 = 587,131 : x
  2. Step 2: Convert to fraction form
    407,621/587,131 = 587,131/x
  3. Step 3: Cross multiply
    407,621x = 587,131 × 587,131
  4. Step 4: Simplify right side
    407,621x = 344,722,811,161
  5. Step 5: Solve for x
    x = 344,722,811,161/407,621
  6. Step 6: Final answer
    x = 845,694.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.