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Finding the Third Proportional to 428,500 and 818,120

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Solution

The third proportional to 428,500 and 818,120 is: 1,562,007.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,500 : 818,120 = 818,120 : x
  2. Step 2: Convert to fraction form
    428,500/818,120 = 818,120/x
  3. Step 3: Cross multiply
    428,500x = 818,120 × 818,120
  4. Step 4: Simplify right side
    428,500x = 669,320,334,400
  5. Step 5: Solve for x
    x = 669,320,334,400/428,500
  6. Step 6: Final answer
    x = 1,562,007.78

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.