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Finding the Third Proportional to 51,108.75 and 111,750.75

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Solution

The third proportional to 51,108.75 and 111,750.75 is: 244,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108.75 : 111,750.75 = 111,750.75 : x
  2. Step 2: Convert to fraction form
    51,108.75/111,750.75 = 111,750.75/x
  3. Step 3: Cross multiply
    51,108.75x = 111,750.75 × 111,750.75
  4. Step 4: Simplify right side
    51,108.75x = 12,488,230,125.56
  5. Step 5: Solve for x
    x = 12,488,230,125.56/51,108.75
  6. Step 6: Final answer
    x = 244,346.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.