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Finding the Third Proportional to 102,433 and 223,546

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Solution

The third proportional to 102,433 and 223,546 is: 487,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,433 : 223,546 = 223,546 : x
  2. Step 2: Convert to fraction form
    102,433/223,546 = 223,546/x
  3. Step 3: Cross multiply
    102,433x = 223,546 × 223,546
  4. Step 4: Simplify right side
    102,433x = 49,972,814,116
  5. Step 5: Solve for x
    x = 49,972,814,116/102,433
  6. Step 6: Final answer
    x = 487,858.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.