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Finding the Third Proportional to 348,369 and 521,199

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Solution

The third proportional to 348,369 and 521,199 is: 779,772.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,369 : 521,199 = 521,199 : x
  2. Step 2: Convert to fraction form
    348,369/521,199 = 521,199/x
  3. Step 3: Cross multiply
    348,369x = 521,199 × 521,199
  4. Step 4: Simplify right side
    348,369x = 271,648,397,601
  5. Step 5: Solve for x
    x = 271,648,397,601/348,369
  6. Step 6: Final answer
    x = 779,772.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.