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Finding the Third Proportional to 428,252 and 666,903

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Solution

The third proportional to 428,252 and 666,903 is: 1,038,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,252 : 666,903 = 666,903 : x
  2. Step 2: Convert to fraction form
    428,252/666,903 = 666,903/x
  3. Step 3: Cross multiply
    428,252x = 666,903 × 666,903
  4. Step 4: Simplify right side
    428,252x = 444,759,611,409
  5. Step 5: Solve for x
    x = 444,759,611,409/428,252
  6. Step 6: Final answer
    x = 1,038,546.49

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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.