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Finding the Third Proportional to 21,278 and 49,685

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Solution

The third proportional to 21,278 and 49,685 is: 116,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,278 : 49,685 = 49,685 : x
  2. Step 2: Convert to fraction form
    21,278/49,685 = 49,685/x
  3. Step 3: Cross multiply
    21,278x = 49,685 × 49,685
  4. Step 4: Simplify right side
    21,278x = 2,468,599,225
  5. Step 5: Solve for x
    x = 2,468,599,225/21,278
  6. Step 6: Final answer
    x = 116,016.51

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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.