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Finding the Third Proportional to 1,420 and 3,344

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Solution

The third proportional to 1,420 and 3,344 is: 7,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420 : 3,344 = 3,344 : x
  2. Step 2: Convert to fraction form
    1,420/3,344 = 3,344/x
  3. Step 3: Cross multiply
    1,420x = 3,344 × 3,344
  4. Step 4: Simplify right side
    1,420x = 11,182,336
  5. Step 5: Solve for x
    x = 11,182,336/1,420
  6. Step 6: Final answer
    x = 7,874.88

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.