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Finding the Third Proportional to 21,989 and 47,515

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Solution

The third proportional to 21,989 and 47,515 is: 102,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,989 : 47,515 = 47,515 : x
  2. Step 2: Convert to fraction form
    21,989/47,515 = 47,515/x
  3. Step 3: Cross multiply
    21,989x = 47,515 × 47,515
  4. Step 4: Simplify right side
    21,989x = 2,257,675,225
  5. Step 5: Solve for x
    x = 2,257,675,225/21,989
  6. Step 6: Final answer
    x = 102,672.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.