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Finding the Third Proportional to 499,838 and 799,431

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Solution

The third proportional to 499,838 and 799,431 is: 1,278,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,838 : 799,431 = 799,431 : x
  2. Step 2: Convert to fraction form
    499,838/799,431 = 799,431/x
  3. Step 3: Cross multiply
    499,838x = 799,431 × 799,431
  4. Step 4: Simplify right side
    499,838x = 639,089,923,761
  5. Step 5: Solve for x
    x = 639,089,923,761/499,838
  6. Step 6: Final answer
    x = 1,278,594.11

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