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Finding the Third Proportional to 327,497 and 520,773

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Solution

The third proportional to 327,497 and 520,773 is: 828,112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,497 : 520,773 = 520,773 : x
  2. Step 2: Convert to fraction form
    327,497/520,773 = 520,773/x
  3. Step 3: Cross multiply
    327,497x = 520,773 × 520,773
  4. Step 4: Simplify right side
    327,497x = 271,204,517,529
  5. Step 5: Solve for x
    x = 271,204,517,529/327,497
  6. Step 6: Final answer
    x = 828,112.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.