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Finding the Third Proportional to 330,077 and 489,121

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Solution

The third proportional to 330,077 and 489,121 is: 724,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,077 : 489,121 = 489,121 : x
  2. Step 2: Convert to fraction form
    330,077/489,121 = 489,121/x
  3. Step 3: Cross multiply
    330,077x = 489,121 × 489,121
  4. Step 4: Simplify right side
    330,077x = 239,239,352,641
  5. Step 5: Solve for x
    x = 239,239,352,641/330,077
  6. Step 6: Final answer
    x = 724,798.62

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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.