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Finding the Third Proportional to 428,161 and 666,749

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Solution

The third proportional to 428,161 and 666,749 is: 1,038,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,161 : 666,749 = 666,749 : x
  2. Step 2: Convert to fraction form
    428,161/666,749 = 666,749/x
  3. Step 3: Cross multiply
    428,161x = 666,749 × 666,749
  4. Step 4: Simplify right side
    428,161x = 444,554,229,001
  5. Step 5: Solve for x
    x = 444,554,229,001/428,161
  6. Step 6: Final answer
    x = 1,038,287.53

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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.