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Finding the Third Proportional to 416,724.75 and 642,403.50

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Solution

The third proportional to 416,724.75 and 642,403.50 is: 990,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,724.75 : 642,403.50 = 642,403.50 : x
  2. Step 2: Convert to fraction form
    416,724.75/642,403.50 = 642,403.50/x
  3. Step 3: Cross multiply
    416,724.75x = 642,403.50 × 642,403.50
  4. Step 4: Simplify right side
    416,724.75x = 412,682,256,812.25
  5. Step 5: Solve for x
    x = 412,682,256,812.25/416,724.75
  6. Step 6: Final answer
    x = 990,299.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.