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Finding the Third Proportional to 128,412 and 273,456

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Solution

The third proportional to 128,412 and 273,456 is: 582,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412 : 273,456 = 273,456 : x
  2. Step 2: Convert to fraction form
    128,412/273,456 = 273,456/x
  3. Step 3: Cross multiply
    128,412x = 273,456 × 273,456
  4. Step 4: Simplify right side
    128,412x = 74,778,183,936
  5. Step 5: Solve for x
    x = 74,778,183,936/128,412
  6. Step 6: Final answer
    x = 582,330.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.