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Finding the Third Proportional to 4,205 and 4,655

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Solution

The third proportional to 4,205 and 4,655 is: 5,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205 : 4,655 = 4,655 : x
  2. Step 2: Convert to fraction form
    4,205/4,655 = 4,655/x
  3. Step 3: Cross multiply
    4,205x = 4,655 × 4,655
  4. Step 4: Simplify right side
    4,205x = 21,669,025
  5. Step 5: Solve for x
    x = 21,669,025/4,205
  6. Step 6: Final answer
    x = 5,153.16

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.