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Finding the Third Proportional to 327,190 and 488,830

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Solution

The third proportional to 327,190 and 488,830 is: 730,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,190 : 488,830 = 488,830 : x
  2. Step 2: Convert to fraction form
    327,190/488,830 = 488,830/x
  3. Step 3: Cross multiply
    327,190x = 488,830 × 488,830
  4. Step 4: Simplify right side
    327,190x = 238,954,768,900
  5. Step 5: Solve for x
    x = 238,954,768,900/327,190
  6. Step 6: Final answer
    x = 730,324.18

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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.