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Finding the Third Proportional to 251,140.50 and 305,997.75

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Solution

The third proportional to 251,140.50 and 305,997.75 is: 372,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,140.50 : 305,997.75 = 305,997.75 : x
  2. Step 2: Convert to fraction form
    251,140.50/305,997.75 = 305,997.75/x
  3. Step 3: Cross multiply
    251,140.50x = 305,997.75 × 305,997.75
  4. Step 4: Simplify right side
    251,140.50x = 93,634,623,005.06
  5. Step 5: Solve for x
    x = 93,634,623,005.06/251,140.50
  6. Step 6: Final answer
    x = 372,837.61

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.