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Finding the Third Proportional to 428,015 and 640,686

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Solution

The third proportional to 428,015 and 640,686 is: 959,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,015 : 640,686 = 640,686 : x
  2. Step 2: Convert to fraction form
    428,015/640,686 = 640,686/x
  3. Step 3: Cross multiply
    428,015x = 640,686 × 640,686
  4. Step 4: Simplify right side
    428,015x = 410,478,550,596
  5. Step 5: Solve for x
    x = 410,478,550,596/428,015
  6. Step 6: Final answer
    x = 959,028.42

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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.