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Finding the Third Proportional to 253,827 and 379,463

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Solution

The third proportional to 253,827 and 379,463 is: 567,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,827 : 379,463 = 379,463 : x
  2. Step 2: Convert to fraction form
    253,827/379,463 = 379,463/x
  3. Step 3: Cross multiply
    253,827x = 379,463 × 379,463
  4. Step 4: Simplify right side
    253,827x = 143,992,168,369
  5. Step 5: Solve for x
    x = 143,992,168,369/253,827
  6. Step 6: Final answer
    x = 567,284.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.