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Finding the Third Proportional to 296,838 and 445,257

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Solution

The third proportional to 296,838 and 445,257 is: 667,885.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,838 : 445,257 = 445,257 : x
  2. Step 2: Convert to fraction form
    296,838/445,257 = 445,257/x
  3. Step 3: Cross multiply
    296,838x = 445,257 × 445,257
  4. Step 4: Simplify right side
    296,838x = 198,253,796,049
  5. Step 5: Solve for x
    x = 198,253,796,049/296,838
  6. Step 6: Final answer
    x = 667,885.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.