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Finding the Third Proportional to 349,472 and 821,456

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Solution

The third proportional to 349,472 and 821,456 is: 1,930,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,472 : 821,456 = 821,456 : x
  2. Step 2: Convert to fraction form
    349,472/821,456 = 821,456/x
  3. Step 3: Cross multiply
    349,472x = 821,456 × 821,456
  4. Step 4: Simplify right side
    349,472x = 674,789,959,936
  5. Step 5: Solve for x
    x = 674,789,959,936/349,472
  6. Step 6: Final answer
    x = 1,930,884.19

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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.