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Finding the Third Proportional to 21,961 and 47,257

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Solution

The third proportional to 21,961 and 47,257 is: 101,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,961 : 47,257 = 47,257 : x
  2. Step 2: Convert to fraction form
    21,961/47,257 = 47,257/x
  3. Step 3: Cross multiply
    21,961x = 47,257 × 47,257
  4. Step 4: Simplify right side
    21,961x = 2,233,224,049
  5. Step 5: Solve for x
    x = 2,233,224,049/21,961
  6. Step 6: Final answer
    x = 101,690.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.