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Finding the Third Proportional to 126,727 and 177,173

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Solution

The third proportional to 126,727 and 177,173 is: 247,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,727 : 177,173 = 177,173 : x
  2. Step 2: Convert to fraction form
    126,727/177,173 = 177,173/x
  3. Step 3: Cross multiply
    126,727x = 177,173 × 177,173
  4. Step 4: Simplify right side
    126,727x = 31,390,271,929
  5. Step 5: Solve for x
    x = 31,390,271,929/126,727
  6. Step 6: Final answer
    x = 247,699.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.