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Finding the Third Proportional to 330,075 and 489,118.50

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Solution

The third proportional to 330,075 and 489,118.50 is: 724,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,075 : 489,118.50 = 489,118.50 : x
  2. Step 2: Convert to fraction form
    330,075/489,118.50 = 489,118.50/x
  3. Step 3: Cross multiply
    330,075x = 489,118.50 × 489,118.50
  4. Step 4: Simplify right side
    330,075x = 239,236,907,042.25
  5. Step 5: Solve for x
    x = 239,236,907,042.25/330,075
  6. Step 6: Final answer
    x = 724,795.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.