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Finding the Third Proportional to 326,658 and 489,990

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Solution

The third proportional to 326,658 and 489,990 is: 734,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,658 : 489,990 = 489,990 : x
  2. Step 2: Convert to fraction form
    326,658/489,990 = 489,990/x
  3. Step 3: Cross multiply
    326,658x = 489,990 × 489,990
  4. Step 4: Simplify right side
    326,658x = 240,090,200,100
  5. Step 5: Solve for x
    x = 240,090,200,100/326,658
  6. Step 6: Final answer
    x = 734,989.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.