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Finding the Third Proportional to 21,638 and 47,278

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Solution

The third proportional to 21,638 and 47,278 is: 103,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638 : 47,278 = 47,278 : x
  2. Step 2: Convert to fraction form
    21,638/47,278 = 47,278/x
  3. Step 3: Cross multiply
    21,638x = 47,278 × 47,278
  4. Step 4: Simplify right side
    21,638x = 2,235,209,284
  5. Step 5: Solve for x
    x = 2,235,209,284/21,638
  6. Step 6: Final answer
    x = 103,300.18

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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.