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Finding the Third Proportional to 356,809 and 489,278

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Solution

The third proportional to 356,809 and 489,278 is: 670,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,809 : 489,278 = 489,278 : x
  2. Step 2: Convert to fraction form
    356,809/489,278 = 489,278/x
  3. Step 3: Cross multiply
    356,809x = 489,278 × 489,278
  4. Step 4: Simplify right side
    356,809x = 239,392,961,284
  5. Step 5: Solve for x
    x = 239,392,961,284/356,809
  6. Step 6: Final answer
    x = 670,927.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.