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Finding the Third Proportional to 356,769 and 489,231

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Solution

The third proportional to 356,769 and 489,231 is: 670,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,769 : 489,231 = 489,231 : x
  2. Step 2: Convert to fraction form
    356,769/489,231 = 489,231/x
  3. Step 3: Cross multiply
    356,769x = 489,231 × 489,231
  4. Step 4: Simplify right side
    356,769x = 239,346,971,361
  5. Step 5: Solve for x
    x = 239,346,971,361/356,769
  6. Step 6: Final answer
    x = 670,873.79

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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.