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Finding the Third Proportional to 329,400 and 447,441

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Solution

The third proportional to 329,400 and 447,441 is: 607,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,400 : 447,441 = 447,441 : x
  2. Step 2: Convert to fraction form
    329,400/447,441 = 447,441/x
  3. Step 3: Cross multiply
    329,400x = 447,441 × 447,441
  4. Step 4: Simplify right side
    329,400x = 200,203,448,481
  5. Step 5: Solve for x
    x = 200,203,448,481/329,400
  6. Step 6: Final answer
    x = 607,782.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.