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Finding the Third Proportional to 21,740 and 47,704

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Solution

The third proportional to 21,740 and 47,704 is: 104,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740 : 47,704 = 47,704 : x
  2. Step 2: Convert to fraction form
    21,740/47,704 = 47,704/x
  3. Step 3: Cross multiply
    21,740x = 47,704 × 47,704
  4. Step 4: Simplify right side
    21,740x = 2,275,671,616
  5. Step 5: Solve for x
    x = 2,275,671,616/21,740
  6. Step 6: Final answer
    x = 104,676.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.