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Finding the Third Proportional to 199,504 and 438,368

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Solution

The third proportional to 199,504 and 438,368 is: 963,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,504 : 438,368 = 438,368 : x
  2. Step 2: Convert to fraction form
    199,504/438,368 = 438,368/x
  3. Step 3: Cross multiply
    199,504x = 438,368 × 438,368
  4. Step 4: Simplify right side
    199,504x = 192,166,503,424
  5. Step 5: Solve for x
    x = 192,166,503,424/199,504
  6. Step 6: Final answer
    x = 963,221.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.