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Finding the Third Proportional to 428,877 and 916,653

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Solution

The third proportional to 428,877 and 916,653 is: 1,959,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,877 : 916,653 = 916,653 : x
  2. Step 2: Convert to fraction form
    428,877/916,653 = 916,653/x
  3. Step 3: Cross multiply
    428,877x = 916,653 × 916,653
  4. Step 4: Simplify right side
    428,877x = 840,252,722,409
  5. Step 5: Solve for x
    x = 840,252,722,409/428,877
  6. Step 6: Final answer
    x = 1,959,192.78

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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.