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Finding the Third Proportional to 126,356 and 272,393

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Solution

The third proportional to 126,356 and 272,393 is: 587,213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,356 : 272,393 = 272,393 : x
  2. Step 2: Convert to fraction form
    126,356/272,393 = 272,393/x
  3. Step 3: Cross multiply
    126,356x = 272,393 × 272,393
  4. Step 4: Simplify right side
    126,356x = 74,197,946,449
  5. Step 5: Solve for x
    x = 74,197,946,449/126,356
  6. Step 6: Final answer
    x = 587,213.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.