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Finding the Third Proportional to 327,455.06 and 489,160.59

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Solution

The third proportional to 327,455.06 and 489,160.59 is: 730,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,455.06 : 489,160.59 = 489,160.59 : x
  2. Step 2: Convert to fraction form
    327,455.06/489,160.59 = 489,160.59/x
  3. Step 3: Cross multiply
    327,455.06x = 489,160.59 × 489,160.59
  4. Step 4: Simplify right side
    327,455.06x = 239,278,086,477.85
  5. Step 5: Solve for x
    x = 239,278,086,477.85/327,455.06
  6. Step 6: Final answer
    x = 730,720.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.