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Finding the Third Proportional to 4,977 and 8,172

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Solution

The third proportional to 4,977 and 8,172 is: 13,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977 : 8,172 = 8,172 : x
  2. Step 2: Convert to fraction form
    4,977/8,172 = 8,172/x
  3. Step 3: Cross multiply
    4,977x = 8,172 × 8,172
  4. Step 4: Simplify right side
    4,977x = 66,781,584
  5. Step 5: Solve for x
    x = 66,781,584/4,977
  6. Step 6: Final answer
    x = 13,418.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.