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Finding the Third Proportional to 682,753.50 and 1,025,883

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Solution

The third proportional to 682,753.50 and 1,025,883 is: 1,541,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,753.50 : 1,025,883 = 1,025,883 : x
  2. Step 2: Convert to fraction form
    682,753.50/1,025,883 = 1,025,883/x
  3. Step 3: Cross multiply
    682,753.50x = 1,025,883 × 1,025,883
  4. Step 4: Simplify right side
    682,753.50x = 1,052,435,929,689
  5. Step 5: Solve for x
    x = 1,052,435,929,689/682,753.50
  6. Step 6: Final answer
    x = 1,541,458.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.