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Finding the Third Proportional to 21,744 and 47,984

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Solution

The third proportional to 21,744 and 47,984 is: 105,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744 : 47,984 = 47,984 : x
  2. Step 2: Convert to fraction form
    21,744/47,984 = 47,984/x
  3. Step 3: Cross multiply
    21,744x = 47,984 × 47,984
  4. Step 4: Simplify right side
    21,744x = 2,302,464,256
  5. Step 5: Solve for x
    x = 2,302,464,256/21,744
  6. Step 6: Final answer
    x = 105,889.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.