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Finding the Third Proportional to 115,311 and 253,325

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Solution

The third proportional to 115,311 and 253,325 is: 556,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,311 : 253,325 = 253,325 : x
  2. Step 2: Convert to fraction form
    115,311/253,325 = 253,325/x
  3. Step 3: Cross multiply
    115,311x = 253,325 × 253,325
  4. Step 4: Simplify right side
    115,311x = 64,173,555,625
  5. Step 5: Solve for x
    x = 64,173,555,625/115,311
  6. Step 6: Final answer
    x = 556,525.88

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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.