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Finding the Third Proportional to 428,385.75 and 940,851.75

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Solution

The third proportional to 428,385.75 and 940,851.75 is: 2,066,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,385.75 : 940,851.75 = 940,851.75 : x
  2. Step 2: Convert to fraction form
    428,385.75/940,851.75 = 940,851.75/x
  3. Step 3: Cross multiply
    428,385.75x = 940,851.75 × 940,851.75
  4. Step 4: Simplify right side
    428,385.75x = 885,202,015,478.06
  5. Step 5: Solve for x
    x = 885,202,015,478.06/428,385.75
  6. Step 6: Final answer
    x = 2,066,366.62

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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.