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Finding the Third Proportional to 511,651.69 and 783,072.56

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Solution

The third proportional to 511,651.69 and 783,072.56 is: 1,198,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,651.69 : 783,072.56 = 783,072.56 : x
  2. Step 2: Convert to fraction form
    511,651.69/783,072.56 = 783,072.56/x
  3. Step 3: Cross multiply
    511,651.69x = 783,072.56 × 783,072.56
  4. Step 4: Simplify right side
    511,651.69x = 613,202,638,140.32
  5. Step 5: Solve for x
    x = 613,202,638,140.32/511,651.69
  6. Step 6: Final answer
    x = 1,198,476.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.