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Finding the Third Proportional to 349,468 and 821,446

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Solution

The third proportional to 349,468 and 821,446 is: 1,930,859.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,468 : 821,446 = 821,446 : x
  2. Step 2: Convert to fraction form
    349,468/821,446 = 821,446/x
  3. Step 3: Cross multiply
    349,468x = 821,446 × 821,446
  4. Step 4: Simplify right side
    349,468x = 674,773,530,916
  5. Step 5: Solve for x
    x = 674,773,530,916/349,468
  6. Step 6: Final answer
    x = 1,930,859.28

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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.