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Finding the Third Proportional to 428,744 and 919,696

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Solution

The third proportional to 428,744 and 919,696 is: 1,972,833.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,744 : 919,696 = 919,696 : x
  2. Step 2: Convert to fraction form
    428,744/919,696 = 919,696/x
  3. Step 3: Cross multiply
    428,744x = 919,696 × 919,696
  4. Step 4: Simplify right side
    428,744x = 845,840,732,416
  5. Step 5: Solve for x
    x = 845,840,732,416/428,744
  6. Step 6: Final answer
    x = 1,972,833.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.