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Finding the Third Proportional to 416,238 and 622,660.50

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Solution

The third proportional to 416,238 and 622,660.50 is: 931,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,238 : 622,660.50 = 622,660.50 : x
  2. Step 2: Convert to fraction form
    416,238/622,660.50 = 622,660.50/x
  3. Step 3: Cross multiply
    416,238x = 622,660.50 × 622,660.50
  4. Step 4: Simplify right side
    416,238x = 387,706,098,260.25
  5. Step 5: Solve for x
    x = 387,706,098,260.25/416,238
  6. Step 6: Final answer
    x = 931,452.91

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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.