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Finding the Third Proportional to 103,903 and 225,518

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Solution

The third proportional to 103,903 and 225,518 is: 489,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,903 : 225,518 = 225,518 : x
  2. Step 2: Convert to fraction form
    103,903/225,518 = 225,518/x
  3. Step 3: Cross multiply
    103,903x = 225,518 × 225,518
  4. Step 4: Simplify right side
    103,903x = 50,858,368,324
  5. Step 5: Solve for x
    x = 50,858,368,324/103,903
  6. Step 6: Final answer
    x = 489,479.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.