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Finding the Third Proportional to 457,812.75 and 697,380.75

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Solution

The third proportional to 457,812.75 and 697,380.75 is: 1,062,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812.75 : 697,380.75 = 697,380.75 : x
  2. Step 2: Convert to fraction form
    457,812.75/697,380.75 = 697,380.75/x
  3. Step 3: Cross multiply
    457,812.75x = 697,380.75 × 697,380.75
  4. Step 4: Simplify right side
    457,812.75x = 486,339,910,470.56
  5. Step 5: Solve for x
    x = 486,339,910,470.56/457,812.75
  6. Step 6: Final answer
    x = 1,062,311.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.