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Finding the Third Proportional to 155,844 and 338,256

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Solution

The third proportional to 155,844 and 338,256 is: 734,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,844 : 338,256 = 338,256 : x
  2. Step 2: Convert to fraction form
    155,844/338,256 = 338,256/x
  3. Step 3: Cross multiply
    155,844x = 338,256 × 338,256
  4. Step 4: Simplify right side
    155,844x = 114,417,121,536
  5. Step 5: Solve for x
    x = 114,417,121,536/155,844
  6. Step 6: Final answer
    x = 734,177.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.