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Finding the Third Proportional to 197,057 and 408,127

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Solution

The third proportional to 197,057 and 408,127 is: 845,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,057 : 408,127 = 408,127 : x
  2. Step 2: Convert to fraction form
    197,057/408,127 = 408,127/x
  3. Step 3: Cross multiply
    197,057x = 408,127 × 408,127
  4. Step 4: Simplify right side
    197,057x = 166,567,648,129
  5. Step 5: Solve for x
    x = 166,567,648,129/197,057
  6. Step 6: Final answer
    x = 845,276.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.