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Finding the Third Proportional to 349,474 and 821,519

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Solution

The third proportional to 349,474 and 821,519 is: 1,931,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,474 : 821,519 = 821,519 : x
  2. Step 2: Convert to fraction form
    349,474/821,519 = 821,519/x
  3. Step 3: Cross multiply
    349,474x = 821,519 × 821,519
  4. Step 4: Simplify right side
    349,474x = 674,893,467,361
  5. Step 5: Solve for x
    x = 674,893,467,361/349,474
  6. Step 6: Final answer
    x = 1,931,169.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.