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Finding the Third Proportional to 253,936 and 519,520

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Solution

The third proportional to 253,936 and 519,520 is: 1,062,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,936 : 519,520 = 519,520 : x
  2. Step 2: Convert to fraction form
    253,936/519,520 = 519,520/x
  3. Step 3: Cross multiply
    253,936x = 519,520 × 519,520
  4. Step 4: Simplify right side
    253,936x = 269,901,030,400
  5. Step 5: Solve for x
    x = 269,901,030,400/253,936
  6. Step 6: Final answer
    x = 1,062,870.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.