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Finding the Third Proportional to 208,609 and 428,278

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Solution

The third proportional to 208,609 and 428,278 is: 879,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,609 : 428,278 = 428,278 : x
  2. Step 2: Convert to fraction form
    208,609/428,278 = 428,278/x
  3. Step 3: Cross multiply
    208,609x = 428,278 × 428,278
  4. Step 4: Simplify right side
    208,609x = 183,422,045,284
  5. Step 5: Solve for x
    x = 183,422,045,284/208,609
  6. Step 6: Final answer
    x = 879,262.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.