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Finding the Third Proportional to 428,736 and 919,680

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Solution

The third proportional to 428,736 and 919,680 is: 1,972,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,736 : 919,680 = 919,680 : x
  2. Step 2: Convert to fraction form
    428,736/919,680 = 919,680/x
  3. Step 3: Cross multiply
    428,736x = 919,680 × 919,680
  4. Step 4: Simplify right side
    428,736x = 845,811,302,400
  5. Step 5: Solve for x
    x = 845,811,302,400/428,736
  6. Step 6: Final answer
    x = 1,972,802.15

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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.