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Finding the Third Proportional to 126,858 and 170,877

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Solution

The third proportional to 126,858 and 170,877 is: 230,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,858 : 170,877 = 170,877 : x
  2. Step 2: Convert to fraction form
    126,858/170,877 = 170,877/x
  3. Step 3: Cross multiply
    126,858x = 170,877 × 170,877
  4. Step 4: Simplify right side
    126,858x = 29,198,949,129
  5. Step 5: Solve for x
    x = 29,198,949,129/126,858
  6. Step 6: Final answer
    x = 230,170.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.