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Finding the Third Proportional to 51,675 and 109,499.25

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Solution

The third proportional to 51,675 and 109,499.25 is: 232,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,675 : 109,499.25 = 109,499.25 : x
  2. Step 2: Convert to fraction form
    51,675/109,499.25 = 109,499.25/x
  3. Step 3: Cross multiply
    51,675x = 109,499.25 × 109,499.25
  4. Step 4: Simplify right side
    51,675x = 11,990,085,750.56
  5. Step 5: Solve for x
    x = 11,990,085,750.56/51,675
  6. Step 6: Final answer
    x = 232,028.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.