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Finding the Third Proportional to 204,828 and 447,178

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Solution

The third proportional to 204,828 and 447,178 is: 976,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,828 : 447,178 = 447,178 : x
  2. Step 2: Convert to fraction form
    204,828/447,178 = 447,178/x
  3. Step 3: Cross multiply
    204,828x = 447,178 × 447,178
  4. Step 4: Simplify right side
    204,828x = 199,968,163,684
  5. Step 5: Solve for x
    x = 199,968,163,684/204,828
  6. Step 6: Final answer
    x = 976,273.57

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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.