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Finding the Third Proportional to 149,328 and 324,895

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Solution

The third proportional to 149,328 and 324,895 is: 706,878.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328 : 324,895 = 324,895 : x
  2. Step 2: Convert to fraction form
    149,328/324,895 = 324,895/x
  3. Step 3: Cross multiply
    149,328x = 324,895 × 324,895
  4. Step 4: Simplify right side
    149,328x = 105,556,761,025
  5. Step 5: Solve for x
    x = 105,556,761,025/149,328
  6. Step 6: Final answer
    x = 706,878.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.