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Finding the Third Proportional to 45,378 and 104,155

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Solution

The third proportional to 45,378 and 104,155 is: 239,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,378 : 104,155 = 104,155 : x
  2. Step 2: Convert to fraction form
    45,378/104,155 = 104,155/x
  3. Step 3: Cross multiply
    45,378x = 104,155 × 104,155
  4. Step 4: Simplify right side
    45,378x = 10,848,264,025
  5. Step 5: Solve for x
    x = 10,848,264,025/45,378
  6. Step 6: Final answer
    x = 239,064.39

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.