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Finding the Third Proportional to 3,405 and 4,982

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Solution

The third proportional to 3,405 and 4,982 is: 7,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405 : 4,982 = 4,982 : x
  2. Step 2: Convert to fraction form
    3,405/4,982 = 4,982/x
  3. Step 3: Cross multiply
    3,405x = 4,982 × 4,982
  4. Step 4: Simplify right side
    3,405x = 24,820,324
  5. Step 5: Solve for x
    x = 24,820,324/3,405
  6. Step 6: Final answer
    x = 7,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.