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Finding the Third Proportional to 21,616 and 50,489

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Solution

The third proportional to 21,616 and 50,489 is: 117,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616 : 50,489 = 50,489 : x
  2. Step 2: Convert to fraction form
    21,616/50,489 = 50,489/x
  3. Step 3: Cross multiply
    21,616x = 50,489 × 50,489
  4. Step 4: Simplify right side
    21,616x = 2,549,139,121
  5. Step 5: Solve for x
    x = 2,549,139,121/21,616
  6. Step 6: Final answer
    x = 117,928.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.