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Finding the Third Proportional to 499,824 and 799,408

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Solution

The third proportional to 499,824 and 799,408 is: 1,278,556.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,824 : 799,408 = 799,408 : x
  2. Step 2: Convert to fraction form
    499,824/799,408 = 799,408/x
  3. Step 3: Cross multiply
    499,824x = 799,408 × 799,408
  4. Step 4: Simplify right side
    499,824x = 639,053,150,464
  5. Step 5: Solve for x
    x = 639,053,150,464/499,824
  6. Step 6: Final answer
    x = 1,278,556.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.