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Finding the Third Proportional to 820,277 and 1,284,177

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Solution

The third proportional to 820,277 and 1,284,177 is: 2,010,431.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,277 : 1,284,177 = 1,284,177 : x
  2. Step 2: Convert to fraction form
    820,277/1,284,177 = 1,284,177/x
  3. Step 3: Cross multiply
    820,277x = 1,284,177 × 1,284,177
  4. Step 4: Simplify right side
    820,277x = 1,649,110,567,329
  5. Step 5: Solve for x
    x = 1,649,110,567,329/820,277
  6. Step 6: Final answer
    x = 2,010,431.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.