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Finding the Third Proportional to 7,680 and 17,984

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Solution

The third proportional to 7,680 and 17,984 is: 42,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680 : 17,984 = 17,984 : x
  2. Step 2: Convert to fraction form
    7,680/17,984 = 17,984/x
  3. Step 3: Cross multiply
    7,680x = 17,984 × 17,984
  4. Step 4: Simplify right side
    7,680x = 323,424,256
  5. Step 5: Solve for x
    x = 323,424,256/7,680
  6. Step 6: Final answer
    x = 42,112.53

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.