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Finding the Third Proportional to 253,850.81 and 557,527.31

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Solution

The third proportional to 253,850.81 and 557,527.31 is: 1,224,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,850.81 : 557,527.31 = 557,527.31 : x
  2. Step 2: Convert to fraction form
    253,850.81/557,527.31 = 557,527.31/x
  3. Step 3: Cross multiply
    253,850.81x = 557,527.31 × 557,527.31
  4. Step 4: Simplify right side
    253,850.81x = 310,836,704,183.47
  5. Step 5: Solve for x
    x = 310,836,704,183.47/253,850.81
  6. Step 6: Final answer
    x = 1,224,485.76

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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.