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Finding the Third Proportional to 122,550 and 256,326

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Solution

The third proportional to 122,550 and 256,326 is: 536,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,550 : 256,326 = 256,326 : x
  2. Step 2: Convert to fraction form
    122,550/256,326 = 256,326/x
  3. Step 3: Cross multiply
    122,550x = 256,326 × 256,326
  4. Step 4: Simplify right side
    122,550x = 65,703,018,276
  5. Step 5: Solve for x
    x = 65,703,018,276/122,550
  6. Step 6: Final answer
    x = 536,132.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.