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Finding the Third Proportional to 149,612 and 324,655

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Solution

The third proportional to 149,612 and 324,655 is: 704,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,612 : 324,655 = 324,655 : x
  2. Step 2: Convert to fraction form
    149,612/324,655 = 324,655/x
  3. Step 3: Cross multiply
    149,612x = 324,655 × 324,655
  4. Step 4: Simplify right side
    149,612x = 105,400,869,025
  5. Step 5: Solve for x
    x = 105,400,869,025/149,612
  6. Step 6: Final answer
    x = 704,494.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.