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Finding the Third Proportional to 356,727 and 489,162

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Solution

The third proportional to 356,727 and 489,162 is: 670,763.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,727 : 489,162 = 489,162 : x
  2. Step 2: Convert to fraction form
    356,727/489,162 = 489,162/x
  3. Step 3: Cross multiply
    356,727x = 489,162 × 489,162
  4. Step 4: Simplify right side
    356,727x = 239,279,462,244
  5. Step 5: Solve for x
    x = 239,279,462,244/356,727
  6. Step 6: Final answer
    x = 670,763.53

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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.