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Finding the Third Proportional to 428,163 and 666,756

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Solution

The third proportional to 428,163 and 666,756 is: 1,038,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,163 : 666,756 = 666,756 : x
  2. Step 2: Convert to fraction form
    428,163/666,756 = 666,756/x
  3. Step 3: Cross multiply
    428,163x = 666,756 × 666,756
  4. Step 4: Simplify right side
    428,163x = 444,563,563,536
  5. Step 5: Solve for x
    x = 444,563,563,536/428,163
  6. Step 6: Final answer
    x = 1,038,304.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.