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Finding the Third Proportional to 4,215 and 5,982

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Solution

The third proportional to 4,215 and 5,982 is: 8,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 5,982 = 5,982 : x
  2. Step 2: Convert to fraction form
    4,215/5,982 = 5,982/x
  3. Step 3: Cross multiply
    4,215x = 5,982 × 5,982
  4. Step 4: Simplify right side
    4,215x = 35,784,324
  5. Step 5: Solve for x
    x = 35,784,324/4,215
  6. Step 6: Final answer
    x = 8,489.76

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.