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Finding the Third Proportional to 2,174 and 3,220

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Solution

The third proportional to 2,174 and 3,220 is: 4,769.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 3,220 = 3,220 : x
  2. Step 2: Convert to fraction form
    2,174/3,220 = 3,220/x
  3. Step 3: Cross multiply
    2,174x = 3,220 × 3,220
  4. Step 4: Simplify right side
    2,174x = 10,368,400
  5. Step 5: Solve for x
    x = 10,368,400/2,174
  6. Step 6: Final answer
    x = 4,769.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.