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Finding the Third Proportional to 348,474 and 521,339

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Solution

The third proportional to 348,474 and 521,339 is: 779,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,474 : 521,339 = 521,339 : x
  2. Step 2: Convert to fraction form
    348,474/521,339 = 521,339/x
  3. Step 3: Cross multiply
    348,474x = 521,339 × 521,339
  4. Step 4: Simplify right side
    348,474x = 271,794,352,921
  5. Step 5: Solve for x
    x = 271,794,352,921/348,474
  6. Step 6: Final answer
    x = 779,955.90

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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.