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Finding the Third Proportional to 149,830 and 321,895

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Solution

The third proportional to 149,830 and 321,895 is: 691,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,830 : 321,895 = 321,895 : x
  2. Step 2: Convert to fraction form
    149,830/321,895 = 321,895/x
  3. Step 3: Cross multiply
    149,830x = 321,895 × 321,895
  4. Step 4: Simplify right side
    149,830x = 103,616,391,025
  5. Step 5: Solve for x
    x = 103,616,391,025/149,830
  6. Step 6: Final answer
    x = 691,559.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.