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Finding the Third Proportional to 51,450 and 112,368

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Solution

The third proportional to 51,450 and 112,368 is: 245,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,450 : 112,368 = 112,368 : x
  2. Step 2: Convert to fraction form
    51,450/112,368 = 112,368/x
  3. Step 3: Cross multiply
    51,450x = 112,368 × 112,368
  4. Step 4: Simplify right side
    51,450x = 12,626,567,424
  5. Step 5: Solve for x
    x = 12,626,567,424/51,450
  6. Step 6: Final answer
    x = 245,414.33

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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.