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Finding the Third Proportional to 428,496 and 818,112

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Solution

The third proportional to 428,496 and 818,112 is: 1,561,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,496 : 818,112 = 818,112 : x
  2. Step 2: Convert to fraction form
    428,496/818,112 = 818,112/x
  3. Step 3: Cross multiply
    428,496x = 818,112 × 818,112
  4. Step 4: Simplify right side
    428,496x = 669,307,244,544
  5. Step 5: Solve for x
    x = 669,307,244,544/428,496
  6. Step 6: Final answer
    x = 1,561,991.81

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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.