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Finding the Third Proportional to 7,704 and 12,984

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Solution

The third proportional to 7,704 and 12,984 is: 21,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 12,984 = 12,984 : x
  2. Step 2: Convert to fraction form
    7,704/12,984 = 12,984/x
  3. Step 3: Cross multiply
    7,704x = 12,984 × 12,984
  4. Step 4: Simplify right side
    7,704x = 168,584,256
  5. Step 5: Solve for x
    x = 168,584,256/7,704
  6. Step 6: Final answer
    x = 21,882.69

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.