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Finding the Third Proportional to 428,417 and 940,921

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Solution

The third proportional to 428,417 and 940,921 is: 2,066,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,417 : 940,921 = 940,921 : x
  2. Step 2: Convert to fraction form
    428,417/940,921 = 940,921/x
  3. Step 3: Cross multiply
    428,417x = 940,921 × 940,921
  4. Step 4: Simplify right side
    428,417x = 885,332,328,241
  5. Step 5: Solve for x
    x = 885,332,328,241/428,417
  6. Step 6: Final answer
    x = 2,066,520.07

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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.