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Finding the Third Proportional to 103,954 and 225,476

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Solution

The third proportional to 103,954 and 225,476 is: 489,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,954 : 225,476 = 225,476 : x
  2. Step 2: Convert to fraction form
    103,954/225,476 = 225,476/x
  3. Step 3: Cross multiply
    103,954x = 225,476 × 225,476
  4. Step 4: Simplify right side
    103,954x = 50,839,426,576
  5. Step 5: Solve for x
    x = 50,839,426,576/103,954
  6. Step 6: Final answer
    x = 489,056.95

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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.