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Finding the Third Proportional to 115,112 and 253,392

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Solution

The third proportional to 115,112 and 253,392 is: 557,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,112 : 253,392 = 253,392 : x
  2. Step 2: Convert to fraction form
    115,112/253,392 = 253,392/x
  3. Step 3: Cross multiply
    115,112x = 253,392 × 253,392
  4. Step 4: Simplify right side
    115,112x = 64,207,505,664
  5. Step 5: Solve for x
    x = 64,207,505,664/115,112
  6. Step 6: Final answer
    x = 557,782.90

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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.