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Finding the Third Proportional to 51,225 and 104,979

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Solution

The third proportional to 51,225 and 104,979 is: 215,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,225 : 104,979 = 104,979 : x
  2. Step 2: Convert to fraction form
    51,225/104,979 = 104,979/x
  3. Step 3: Cross multiply
    51,225x = 104,979 × 104,979
  4. Step 4: Simplify right side
    51,225x = 11,020,590,441
  5. Step 5: Solve for x
    x = 11,020,590,441/51,225
  6. Step 6: Final answer
    x = 215,140.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.