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Finding the Third Proportional to 21,743 and 47,653

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Solution

The third proportional to 21,743 and 47,653 is: 104,438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,743 : 47,653 = 47,653 : x
  2. Step 2: Convert to fraction form
    21,743/47,653 = 47,653/x
  3. Step 3: Cross multiply
    21,743x = 47,653 × 47,653
  4. Step 4: Simplify right side
    21,743x = 2,270,808,409
  5. Step 5: Solve for x
    x = 2,270,808,409/21,743
  6. Step 6: Final answer
    x = 104,438.60

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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.