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Finding the Third Proportional to 2,978 and 4,917

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Solution

The third proportional to 2,978 and 4,917 is: 8,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,917 = 4,917 : x
  2. Step 2: Convert to fraction form
    2,978/4,917 = 4,917/x
  3. Step 3: Cross multiply
    2,978x = 4,917 × 4,917
  4. Step 4: Simplify right side
    2,978x = 24,176,889
  5. Step 5: Solve for x
    x = 24,176,889/2,978
  6. Step 6: Final answer
    x = 8,118.50

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.