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Finding the Third Proportional to 282,890 and 618,268

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Solution

The third proportional to 282,890 and 618,268 is: 1,351,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,890 : 618,268 = 618,268 : x
  2. Step 2: Convert to fraction form
    282,890/618,268 = 618,268/x
  3. Step 3: Cross multiply
    282,890x = 618,268 × 618,268
  4. Step 4: Simplify right side
    282,890x = 382,255,319,824
  5. Step 5: Solve for x
    x = 382,255,319,824/282,890
  6. Step 6: Final answer
    x = 1,351,250.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.