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Finding the Third Proportional to 203,968 and 437,438

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Solution

The third proportional to 203,968 and 437,438 is: 938,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968 : 437,438 = 437,438 : x
  2. Step 2: Convert to fraction form
    203,968/437,438 = 437,438/x
  3. Step 3: Cross multiply
    203,968x = 437,438 × 437,438
  4. Step 4: Simplify right side
    203,968x = 191,352,003,844
  5. Step 5: Solve for x
    x = 191,352,003,844/203,968
  6. Step 6: Final answer
    x = 938,147.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.