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Finding the Third Proportional to 4,278 and 9,255

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Solution

The third proportional to 4,278 and 9,255 is: 20,022.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,278 : 9,255 = 9,255 : x
  2. Step 2: Convert to fraction form
    4,278/9,255 = 9,255/x
  3. Step 3: Cross multiply
    4,278x = 9,255 × 9,255
  4. Step 4: Simplify right side
    4,278x = 85,655,025
  5. Step 5: Solve for x
    x = 85,655,025/4,278
  6. Step 6: Final answer
    x = 20,022.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.