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Finding the Third Proportional to 21,591 and 47,118

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Solution

The third proportional to 21,591 and 47,118 is: 102,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,591 : 47,118 = 47,118 : x
  2. Step 2: Convert to fraction form
    21,591/47,118 = 47,118/x
  3. Step 3: Cross multiply
    21,591x = 47,118 × 47,118
  4. Step 4: Simplify right side
    21,591x = 2,220,105,924
  5. Step 5: Solve for x
    x = 2,220,105,924/21,591
  6. Step 6: Final answer
    x = 102,825.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.