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Finding the Third Proportional to 204,141 and 448,134

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Solution

The third proportional to 204,141 and 448,134 is: 983,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,141 : 448,134 = 448,134 : x
  2. Step 2: Convert to fraction form
    204,141/448,134 = 448,134/x
  3. Step 3: Cross multiply
    204,141x = 448,134 × 448,134
  4. Step 4: Simplify right side
    204,141x = 200,824,081,956
  5. Step 5: Solve for x
    x = 200,824,081,956/204,141
  6. Step 6: Final answer
    x = 983,751.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.