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Finding the Third Proportional to 351,610 and 520,839

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Solution

The third proportional to 351,610 and 520,839 is: 771,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,610 : 520,839 = 520,839 : x
  2. Step 2: Convert to fraction form
    351,610/520,839 = 520,839/x
  3. Step 3: Cross multiply
    351,610x = 520,839 × 520,839
  4. Step 4: Simplify right side
    351,610x = 271,273,263,921
  5. Step 5: Solve for x
    x = 271,273,263,921/351,610
  6. Step 6: Final answer
    x = 771,517.49

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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.