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Finding the Third Proportional to 1,216 and 2,938

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Solution

The third proportional to 1,216 and 2,938 is: 7,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216 : 2,938 = 2,938 : x
  2. Step 2: Convert to fraction form
    1,216/2,938 = 2,938/x
  3. Step 3: Cross multiply
    1,216x = 2,938 × 2,938
  4. Step 4: Simplify right side
    1,216x = 8,631,844
  5. Step 5: Solve for x
    x = 8,631,844/1,216
  6. Step 6: Final answer
    x = 7,098.56

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.