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Finding the Third Proportional to 780,816 and 1,629,408

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Solution

The third proportional to 780,816 and 1,629,408 is: 3,400,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,816 : 1,629,408 = 1,629,408 : x
  2. Step 2: Convert to fraction form
    780,816/1,629,408 = 1,629,408/x
  3. Step 3: Cross multiply
    780,816x = 1,629,408 × 1,629,408
  4. Step 4: Simplify right side
    780,816x = 2,654,970,430,464
  5. Step 5: Solve for x
    x = 2,654,970,430,464/780,816
  6. Step 6: Final answer
    x = 3,400,251.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.