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Finding the Third Proportional to 356,718 and 489,147

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Solution

The third proportional to 356,718 and 489,147 is: 670,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,718 : 489,147 = 489,147 : x
  2. Step 2: Convert to fraction form
    356,718/489,147 = 489,147/x
  3. Step 3: Cross multiply
    356,718x = 489,147 × 489,147
  4. Step 4: Simplify right side
    356,718x = 239,264,787,609
  5. Step 5: Solve for x
    x = 239,264,787,609/356,718
  6. Step 6: Final answer
    x = 670,739.32

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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.