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Finding the Third Proportional to 102,821 and 238,009

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Solution

The third proportional to 102,821 and 238,009 is: 550,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,821 : 238,009 = 238,009 : x
  2. Step 2: Convert to fraction form
    102,821/238,009 = 238,009/x
  3. Step 3: Cross multiply
    102,821x = 238,009 × 238,009
  4. Step 4: Simplify right side
    102,821x = 56,648,284,081
  5. Step 5: Solve for x
    x = 56,648,284,081/102,821
  6. Step 6: Final answer
    x = 550,940.80

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.