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Finding the Third Proportional to 321,888 and 489,744

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Solution

The third proportional to 321,888 and 489,744 is: 745,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,888 : 489,744 = 489,744 : x
  2. Step 2: Convert to fraction form
    321,888/489,744 = 489,744/x
  3. Step 3: Cross multiply
    321,888x = 489,744 × 489,744
  4. Step 4: Simplify right side
    321,888x = 239,849,185,536
  5. Step 5: Solve for x
    x = 239,849,185,536/321,888
  6. Step 6: Final answer
    x = 745,132.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.