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Finding the Third Proportional to 251,802 and 515,238.75

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Solution

The third proportional to 251,802 and 515,238.75 is: 1,054,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,802 : 515,238.75 = 515,238.75 : x
  2. Step 2: Convert to fraction form
    251,802/515,238.75 = 515,238.75/x
  3. Step 3: Cross multiply
    251,802x = 515,238.75 × 515,238.75
  4. Step 4: Simplify right side
    251,802x = 265,470,969,501.56
  5. Step 5: Solve for x
    x = 265,470,969,501.56/251,802
  6. Step 6: Final answer
    x = 1,054,284.59

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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.