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Finding the Third Proportional to 126,860 and 170,880

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Solution

The third proportional to 126,860 and 170,880 is: 230,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,860 : 170,880 = 170,880 : x
  2. Step 2: Convert to fraction form
    126,860/170,880 = 170,880/x
  3. Step 3: Cross multiply
    126,860x = 170,880 × 170,880
  4. Step 4: Simplify right side
    126,860x = 29,199,974,400
  5. Step 5: Solve for x
    x = 29,199,974,400/126,860
  6. Step 6: Final answer
    x = 230,174.79

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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.