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Finding the Third Proportional to 149,454 and 323,330

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Solution

The third proportional to 149,454 and 323,330 is: 699,494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,454 : 323,330 = 323,330 : x
  2. Step 2: Convert to fraction form
    149,454/323,330 = 323,330/x
  3. Step 3: Cross multiply
    149,454x = 323,330 × 323,330
  4. Step 4: Simplify right side
    149,454x = 104,542,288,900
  5. Step 5: Solve for x
    x = 104,542,288,900/149,454
  6. Step 6: Final answer
    x = 699,494.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.