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Finding the Third Proportional to 412,869 and 683,305

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Solution

The third proportional to 412,869 and 683,305 is: 1,130,881.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,869 : 683,305 = 683,305 : x
  2. Step 2: Convert to fraction form
    412,869/683,305 = 683,305/x
  3. Step 3: Cross multiply
    412,869x = 683,305 × 683,305
  4. Step 4: Simplify right side
    412,869x = 466,905,723,025
  5. Step 5: Solve for x
    x = 466,905,723,025/412,869
  6. Step 6: Final answer
    x = 1,130,881.04

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.