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Finding the Third Proportional to 351,608 and 520,836

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Solution

The third proportional to 351,608 and 520,836 is: 771,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,608 : 520,836 = 520,836 : x
  2. Step 2: Convert to fraction form
    351,608/520,836 = 520,836/x
  3. Step 3: Cross multiply
    351,608x = 520,836 × 520,836
  4. Step 4: Simplify right side
    351,608x = 271,270,138,896
  5. Step 5: Solve for x
    x = 271,270,138,896/351,608
  6. Step 6: Final answer
    x = 771,512.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.