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Finding the Third Proportional to 428,874 and 916,647

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Solution

The third proportional to 428,874 and 916,647 is: 1,959,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,874 : 916,647 = 916,647 : x
  2. Step 2: Convert to fraction form
    428,874/916,647 = 916,647/x
  3. Step 3: Cross multiply
    428,874x = 916,647 × 916,647
  4. Step 4: Simplify right side
    428,874x = 840,241,722,609
  5. Step 5: Solve for x
    x = 840,241,722,609/428,874
  6. Step 6: Final answer
    x = 1,959,180.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.