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Finding the Third Proportional to 428,952 and 942,504

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Solution

The third proportional to 428,952 and 942,504 is: 2,070,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,952 : 942,504 = 942,504 : x
  2. Step 2: Convert to fraction form
    428,952/942,504 = 942,504/x
  3. Step 3: Cross multiply
    428,952x = 942,504 × 942,504
  4. Step 4: Simplify right side
    428,952x = 888,313,790,016
  5. Step 5: Solve for x
    x = 888,313,790,016/428,952
  6. Step 6: Final answer
    x = 2,070,893.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.