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Finding the Third Proportional to 511,653.50 and 783,075.50

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Solution

The third proportional to 511,653.50 and 783,075.50 is: 1,198,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,653.50 : 783,075.50 = 783,075.50 : x
  2. Step 2: Convert to fraction form
    511,653.50/783,075.50 = 783,075.50/x
  3. Step 3: Cross multiply
    511,653.50x = 783,075.50 × 783,075.50
  4. Step 4: Simplify right side
    511,653.50x = 613,207,238,700.25
  5. Step 5: Solve for x
    x = 613,207,238,700.25/511,653.50
  6. Step 6: Final answer
    x = 1,198,481.47

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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.