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Finding the Third Proportional to 51,192 and 106,471.13

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Solution

The third proportional to 51,192 and 106,471.13 is: 221,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192 : 106,471.13 = 106,471.13 : x
  2. Step 2: Convert to fraction form
    51,192/106,471.13 = 106,471.13/x
  3. Step 3: Cross multiply
    51,192x = 106,471.13 × 106,471.13
  4. Step 4: Simplify right side
    51,192x = 11,336,100,458.77
  5. Step 5: Solve for x
    x = 11,336,100,458.77/51,192
  6. Step 6: Final answer
    x = 221,442.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.