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Finding the Third Proportional to 126,276 and 256,904

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Solution

The third proportional to 126,276 and 256,904 is: 522,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,276 : 256,904 = 256,904 : x
  2. Step 2: Convert to fraction form
    126,276/256,904 = 256,904/x
  3. Step 3: Cross multiply
    126,276x = 256,904 × 256,904
  4. Step 4: Simplify right side
    126,276x = 65,999,665,216
  5. Step 5: Solve for x
    x = 65,999,665,216/126,276
  6. Step 6: Final answer
    x = 522,661.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.