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Finding the Third Proportional to 4,121 and 4,685

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Solution

The third proportional to 4,121 and 4,685 is: 5,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121 : 4,685 = 4,685 : x
  2. Step 2: Convert to fraction form
    4,121/4,685 = 4,685/x
  3. Step 3: Cross multiply
    4,121x = 4,685 × 4,685
  4. Step 4: Simplify right side
    4,121x = 21,949,225
  5. Step 5: Solve for x
    x = 21,949,225/4,121
  6. Step 6: Final answer
    x = 5,326.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.