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Finding the Third Proportional to 51,940 and 113,486

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Solution

The third proportional to 51,940 and 113,486 is: 247,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,940 : 113,486 = 113,486 : x
  2. Step 2: Convert to fraction form
    51,940/113,486 = 113,486/x
  3. Step 3: Cross multiply
    51,940x = 113,486 × 113,486
  4. Step 4: Simplify right side
    51,940x = 12,879,072,196
  5. Step 5: Solve for x
    x = 12,879,072,196/51,940
  6. Step 6: Final answer
    x = 247,960.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.