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Finding the Third Proportional to 416,828 and 862,240

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Solution

The third proportional to 416,828 and 862,240 is: 1,783,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,828 : 862,240 = 862,240 : x
  2. Step 2: Convert to fraction form
    416,828/862,240 = 862,240/x
  3. Step 3: Cross multiply
    416,828x = 862,240 × 862,240
  4. Step 4: Simplify right side
    416,828x = 743,457,817,600
  5. Step 5: Solve for x
    x = 743,457,817,600/416,828
  6. Step 6: Final answer
    x = 1,783,608.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.