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Finding the Third Proportional to 2,120 and 4,649

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Solution

The third proportional to 2,120 and 4,649 is: 10,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120 : 4,649 = 4,649 : x
  2. Step 2: Convert to fraction form
    2,120/4,649 = 4,649/x
  3. Step 3: Cross multiply
    2,120x = 4,649 × 4,649
  4. Step 4: Simplify right side
    2,120x = 21,613,201
  5. Step 5: Solve for x
    x = 21,613,201/2,120
  6. Step 6: Final answer
    x = 10,194.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.