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Finding the Third Proportional to 21,819 and 47,119

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Solution

The third proportional to 21,819 and 47,119 is: 101,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819 : 47,119 = 47,119 : x
  2. Step 2: Convert to fraction form
    21,819/47,119 = 47,119/x
  3. Step 3: Cross multiply
    21,819x = 47,119 × 47,119
  4. Step 4: Simplify right side
    21,819x = 2,220,200,161
  5. Step 5: Solve for x
    x = 2,220,200,161/21,819
  6. Step 6: Final answer
    x = 101,755.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.