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Finding the Third Proportional to 352,611 and 521,505

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Solution

The third proportional to 352,611 and 521,505 is: 771,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,611 : 521,505 = 521,505 : x
  2. Step 2: Convert to fraction form
    352,611/521,505 = 521,505/x
  3. Step 3: Cross multiply
    352,611x = 521,505 × 521,505
  4. Step 4: Simplify right side
    352,611x = 271,967,465,025
  5. Step 5: Solve for x
    x = 271,967,465,025/352,611
  6. Step 6: Final answer
    x = 771,296.03

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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.