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Finding the Third Proportional to 259,740 and 389,616.75

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Solution

The third proportional to 259,740 and 389,616.75 is: 584,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740 : 389,616.75 = 389,616.75 : x
  2. Step 2: Convert to fraction form
    259,740/389,616.75 = 389,616.75/x
  3. Step 3: Cross multiply
    259,740x = 389,616.75 × 389,616.75
  4. Step 4: Simplify right side
    259,740x = 151,801,211,880.56
  5. Step 5: Solve for x
    x = 151,801,211,880.56/259,740
  6. Step 6: Final answer
    x = 584,435.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.