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Finding the Third Proportional to 103,599 and 225,936

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Solution

The third proportional to 103,599 and 225,936 is: 492,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,599 : 225,936 = 225,936 : x
  2. Step 2: Convert to fraction form
    103,599/225,936 = 225,936/x
  3. Step 3: Cross multiply
    103,599x = 225,936 × 225,936
  4. Step 4: Simplify right side
    103,599x = 51,047,076,096
  5. Step 5: Solve for x
    x = 51,047,076,096/103,599
  6. Step 6: Final answer
    x = 492,737.15

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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.