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Finding the Third Proportional to 457,120.13 and 697,285.13

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Solution

The third proportional to 457,120.13 and 697,285.13 is: 1,063,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,120.13 : 697,285.13 = 697,285.13 : x
  2. Step 2: Convert to fraction form
    457,120.13/697,285.13 = 697,285.13/x
  3. Step 3: Cross multiply
    457,120.13x = 697,285.13 × 697,285.13
  4. Step 4: Simplify right side
    457,120.13x = 486,206,545,546.27
  5. Step 5: Solve for x
    x = 486,206,545,546.27/457,120.13
  6. Step 6: Final answer
    x = 1,063,629.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.