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Finding the Third Proportional to 21,097 and 43,247

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Solution

The third proportional to 21,097 and 43,247 is: 88,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097 : 43,247 = 43,247 : x
  2. Step 2: Convert to fraction form
    21,097/43,247 = 43,247/x
  3. Step 3: Cross multiply
    21,097x = 43,247 × 43,247
  4. Step 4: Simplify right side
    21,097x = 1,870,303,009
  5. Step 5: Solve for x
    x = 1,870,303,009/21,097
  6. Step 6: Final answer
    x = 88,652.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.