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Finding the Third Proportional to 197,170 and 423,828

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Solution

The third proportional to 197,170 and 423,828 is: 911,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,170 : 423,828 = 423,828 : x
  2. Step 2: Convert to fraction form
    197,170/423,828 = 423,828/x
  3. Step 3: Cross multiply
    197,170x = 423,828 × 423,828
  4. Step 4: Simplify right side
    197,170x = 179,630,173,584
  5. Step 5: Solve for x
    x = 179,630,173,584/197,170
  6. Step 6: Final answer
    x = 911,042.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.