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Finding the Third Proportional to 203,597 and 438,749

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Solution

The third proportional to 203,597 and 438,749 is: 945,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,597 : 438,749 = 438,749 : x
  2. Step 2: Convert to fraction form
    203,597/438,749 = 438,749/x
  3. Step 3: Cross multiply
    203,597x = 438,749 × 438,749
  4. Step 4: Simplify right side
    203,597x = 192,500,685,001
  5. Step 5: Solve for x
    x = 192,500,685,001/203,597
  6. Step 6: Final answer
    x = 945,498.63

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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.