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Finding the Third Proportional to 190,951 and 397,590

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Solution

The third proportional to 190,951 and 397,590 is: 827,844.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,951 : 397,590 = 397,590 : x
  2. Step 2: Convert to fraction form
    190,951/397,590 = 397,590/x
  3. Step 3: Cross multiply
    190,951x = 397,590 × 397,590
  4. Step 4: Simplify right side
    190,951x = 158,077,808,100
  5. Step 5: Solve for x
    x = 158,077,808,100/190,951
  6. Step 6: Final answer
    x = 827,844.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.