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Finding the Third Proportional to 235,198.50 and 515,431.50

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Solution

The third proportional to 235,198.50 and 515,431.50 is: 1,129,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,198.50 : 515,431.50 = 515,431.50 : x
  2. Step 2: Convert to fraction form
    235,198.50/515,431.50 = 515,431.50/x
  3. Step 3: Cross multiply
    235,198.50x = 515,431.50 × 515,431.50
  4. Step 4: Simplify right side
    235,198.50x = 265,669,631,192.25
  5. Step 5: Solve for x
    x = 265,669,631,192.25/235,198.50
  6. Step 6: Final answer
    x = 1,129,554.96

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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.