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Finding the Third Proportional to 21,889 and 47,956

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Solution

The third proportional to 21,889 and 47,956 is: 105,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,889 : 47,956 = 47,956 : x
  2. Step 2: Convert to fraction form
    21,889/47,956 = 47,956/x
  3. Step 3: Cross multiply
    21,889x = 47,956 × 47,956
  4. Step 4: Simplify right side
    21,889x = 2,299,777,936
  5. Step 5: Solve for x
    x = 2,299,777,936/21,889
  6. Step 6: Final answer
    x = 105,065.46

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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.