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Finding the Third Proportional to 348,302 and 521,103

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Solution

The third proportional to 348,302 and 521,103 is: 779,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,302 : 521,103 = 521,103 : x
  2. Step 2: Convert to fraction form
    348,302/521,103 = 521,103/x
  3. Step 3: Cross multiply
    348,302x = 521,103 × 521,103
  4. Step 4: Simplify right side
    348,302x = 271,548,336,609
  5. Step 5: Solve for x
    x = 271,548,336,609/348,302
  6. Step 6: Final answer
    x = 779,634.73

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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.