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Finding the Third Proportional to 115,256 and 239,692

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Solution

The third proportional to 115,256 and 239,692 is: 498,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,256 : 239,692 = 239,692 : x
  2. Step 2: Convert to fraction form
    115,256/239,692 = 239,692/x
  3. Step 3: Cross multiply
    115,256x = 239,692 × 239,692
  4. Step 4: Simplify right side
    115,256x = 57,452,254,864
  5. Step 5: Solve for x
    x = 57,452,254,864/115,256
  6. Step 6: Final answer
    x = 498,475.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.