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Finding the Third Proportional to 197,018 and 421,684

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Solution

The third proportional to 197,018 and 421,684 is: 902,543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,018 : 421,684 = 421,684 : x
  2. Step 2: Convert to fraction form
    197,018/421,684 = 421,684/x
  3. Step 3: Cross multiply
    197,018x = 421,684 × 421,684
  4. Step 4: Simplify right side
    197,018x = 177,817,395,856
  5. Step 5: Solve for x
    x = 177,817,395,856/197,018
  6. Step 6: Final answer
    x = 902,543.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.