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Finding the Third Proportional to 2,190 and 3,461

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Solution

The third proportional to 2,190 and 3,461 is: 5,469.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 3,461 = 3,461 : x
  2. Step 2: Convert to fraction form
    2,190/3,461 = 3,461/x
  3. Step 3: Cross multiply
    2,190x = 3,461 × 3,461
  4. Step 4: Simplify right side
    2,190x = 11,978,521
  5. Step 5: Solve for x
    x = 11,978,521/2,190
  6. Step 6: Final answer
    x = 5,469.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.