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Finding the Third Proportional to 208,804 and 447,128

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Solution

The third proportional to 208,804 and 447,128 is: 957,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,804 : 447,128 = 447,128 : x
  2. Step 2: Convert to fraction form
    208,804/447,128 = 447,128/x
  3. Step 3: Cross multiply
    208,804x = 447,128 × 447,128
  4. Step 4: Simplify right side
    208,804x = 199,923,448,384
  5. Step 5: Solve for x
    x = 199,923,448,384/208,804
  6. Step 6: Final answer
    x = 957,469.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.