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Finding the Third Proportional to 3,425 and 4,127

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Solution

The third proportional to 3,425 and 4,127 is: 4,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425 : 4,127 = 4,127 : x
  2. Step 2: Convert to fraction form
    3,425/4,127 = 4,127/x
  3. Step 3: Cross multiply
    3,425x = 4,127 × 4,127
  4. Step 4: Simplify right side
    3,425x = 17,032,129
  5. Step 5: Solve for x
    x = 17,032,129/3,425
  6. Step 6: Final answer
    x = 4,972.88

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.