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Finding the Third Proportional to 499,828 and 799,414

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Solution

The third proportional to 499,828 and 799,414 is: 1,278,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,828 : 799,414 = 799,414 : x
  2. Step 2: Convert to fraction form
    499,828/799,414 = 799,414/x
  3. Step 3: Cross multiply
    499,828x = 799,414 × 799,414
  4. Step 4: Simplify right side
    499,828x = 639,062,743,396
  5. Step 5: Solve for x
    x = 639,062,743,396/499,828
  6. Step 6: Final answer
    x = 1,278,565.31

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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.