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Finding the Third Proportional to 47,679 and 71,497

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Solution

The third proportional to 47,679 and 71,497 is: 107,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679 : 71,497 = 71,497 : x
  2. Step 2: Convert to fraction form
    47,679/71,497 = 71,497/x
  3. Step 3: Cross multiply
    47,679x = 71,497 × 71,497
  4. Step 4: Simplify right side
    47,679x = 5,111,821,009
  5. Step 5: Solve for x
    x = 5,111,821,009/47,679
  6. Step 6: Final answer
    x = 107,213.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.