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Finding the Third Proportional to 379,012 and 520,710

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Solution

The third proportional to 379,012 and 520,710 is: 715,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,012 : 520,710 = 520,710 : x
  2. Step 2: Convert to fraction form
    379,012/520,710 = 520,710/x
  3. Step 3: Cross multiply
    379,012x = 520,710 × 520,710
  4. Step 4: Simplify right side
    379,012x = 271,138,904,100
  5. Step 5: Solve for x
    x = 271,138,904,100/379,012
  6. Step 6: Final answer
    x = 715,383.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.