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Finding the Third Proportional to 253,078 and 381,273

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Solution

The third proportional to 253,078 and 381,273 is: 574,404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,078 : 381,273 = 381,273 : x
  2. Step 2: Convert to fraction form
    253,078/381,273 = 381,273/x
  3. Step 3: Cross multiply
    253,078x = 381,273 × 381,273
  4. Step 4: Simplify right side
    253,078x = 145,369,100,529
  5. Step 5: Solve for x
    x = 145,369,100,529/253,078
  6. Step 6: Final answer
    x = 574,404.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.