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Finding the Third Proportional to 428,418 and 940,911

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Solution

The third proportional to 428,418 and 940,911 is: 2,066,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,418 : 940,911 = 940,911 : x
  2. Step 2: Convert to fraction form
    428,418/940,911 = 940,911/x
  3. Step 3: Cross multiply
    428,418x = 940,911 × 940,911
  4. Step 4: Simplify right side
    428,418x = 885,313,509,921
  5. Step 5: Solve for x
    x = 885,313,509,921/428,418
  6. Step 6: Final answer
    x = 2,066,471.32

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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.