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Finding the Third Proportional to 428,387 and 940,837

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Solution

The third proportional to 428,387 and 940,837 is: 2,066,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,387 : 940,837 = 940,837 : x
  2. Step 2: Convert to fraction form
    428,387/940,837 = 940,837/x
  3. Step 3: Cross multiply
    428,387x = 940,837 × 940,837
  4. Step 4: Simplify right side
    428,387x = 885,174,260,569
  5. Step 5: Solve for x
    x = 885,174,260,569/428,387
  6. Step 6: Final answer
    x = 2,066,295.80

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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.