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Finding the Third Proportional to 1,152 and 2,672

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Solution

The third proportional to 1,152 and 2,672 is: 6,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152 : 2,672 = 2,672 : x
  2. Step 2: Convert to fraction form
    1,152/2,672 = 2,672/x
  3. Step 3: Cross multiply
    1,152x = 2,672 × 2,672
  4. Step 4: Simplify right side
    1,152x = 7,139,584
  5. Step 5: Solve for x
    x = 7,139,584/1,152
  6. Step 6: Final answer
    x = 6,197.56

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.