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Finding the Third Proportional to 126,800 and 181,128

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Solution

The third proportional to 126,800 and 181,128 is: 258,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,800 : 181,128 = 181,128 : x
  2. Step 2: Convert to fraction form
    126,800/181,128 = 181,128/x
  3. Step 3: Cross multiply
    126,800x = 181,128 × 181,128
  4. Step 4: Simplify right side
    126,800x = 32,807,352,384
  5. Step 5: Solve for x
    x = 32,807,352,384/126,800
  6. Step 6: Final answer
    x = 258,733.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.