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Finding the Third Proportional to 190,717 and 280,162

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Solution

The third proportional to 190,717 and 280,162 is: 411,556.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,717 : 280,162 = 280,162 : x
  2. Step 2: Convert to fraction form
    190,717/280,162 = 280,162/x
  3. Step 3: Cross multiply
    190,717x = 280,162 × 280,162
  4. Step 4: Simplify right side
    190,717x = 78,490,746,244
  5. Step 5: Solve for x
    x = 78,490,746,244/190,717
  6. Step 6: Final answer
    x = 411,556.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.