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Finding the Third Proportional to 126,718 and 177,158

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Solution

The third proportional to 126,718 and 177,158 is: 247,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,718 : 177,158 = 177,158 : x
  2. Step 2: Convert to fraction form
    126,718/177,158 = 177,158/x
  3. Step 3: Cross multiply
    126,718x = 177,158 × 177,158
  4. Step 4: Simplify right side
    126,718x = 31,384,956,964
  5. Step 5: Solve for x
    x = 31,384,956,964/126,718
  6. Step 6: Final answer
    x = 247,675.60

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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.