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Finding the Third Proportional to 203,708 and 438,621

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Solution

The third proportional to 203,708 and 438,621 is: 944,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,708 : 438,621 = 438,621 : x
  2. Step 2: Convert to fraction form
    203,708/438,621 = 438,621/x
  3. Step 3: Cross multiply
    203,708x = 438,621 × 438,621
  4. Step 4: Simplify right side
    203,708x = 192,388,381,641
  5. Step 5: Solve for x
    x = 192,388,381,641/203,708
  6. Step 6: Final answer
    x = 944,432.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.