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Finding the Third Proportional to 115,310.25 and 253,321.88

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Solution

The third proportional to 115,310.25 and 253,321.88 is: 556,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,310.25 : 253,321.88 = 253,321.88 : x
  2. Step 2: Convert to fraction form
    115,310.25/253,321.88 = 253,321.88/x
  3. Step 3: Cross multiply
    115,310.25x = 253,321.88 × 253,321.88
  4. Step 4: Simplify right side
    115,310.25x = 64,171,972,353.52
  5. Step 5: Solve for x
    x = 64,171,972,353.52/115,310.25
  6. Step 6: Final answer
    x = 556,515.77

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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.