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Finding the Third Proportional to 203,953 and 328,344

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Solution

The third proportional to 203,953 and 328,344 is: 528,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,953 : 328,344 = 328,344 : x
  2. Step 2: Convert to fraction form
    203,953/328,344 = 328,344/x
  3. Step 3: Cross multiply
    203,953x = 328,344 × 328,344
  4. Step 4: Simplify right side
    203,953x = 107,809,782,336
  5. Step 5: Solve for x
    x = 107,809,782,336/203,953
  6. Step 6: Final answer
    x = 528,601.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.