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Finding the Third Proportional to 428,133 and 666,711.75

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Solution

The third proportional to 428,133 and 666,711.75 is: 1,038,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,133 : 666,711.75 = 666,711.75 : x
  2. Step 2: Convert to fraction form
    428,133/666,711.75 = 666,711.75/x
  3. Step 3: Cross multiply
    428,133x = 666,711.75 × 666,711.75
  4. Step 4: Simplify right side
    428,133x = 444,504,557,588.06
  5. Step 5: Solve for x
    x = 444,504,557,588.06/428,133
  6. Step 6: Final answer
    x = 1,038,239.42

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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.