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Finding the Third Proportional to 103,815 and 225,855

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Solution

The third proportional to 103,815 and 225,855 is: 491,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,815 : 225,855 = 225,855 : x
  2. Step 2: Convert to fraction form
    103,815/225,855 = 225,855/x
  3. Step 3: Cross multiply
    103,815x = 225,855 × 225,855
  4. Step 4: Simplify right side
    103,815x = 51,010,481,025
  5. Step 5: Solve for x
    x = 51,010,481,025/103,815
  6. Step 6: Final answer
    x = 491,359.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.