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Finding the Third Proportional to 126,720 and 171,050

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Solution

The third proportional to 126,720 and 171,050 is: 230,887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,720 : 171,050 = 171,050 : x
  2. Step 2: Convert to fraction form
    126,720/171,050 = 171,050/x
  3. Step 3: Cross multiply
    126,720x = 171,050 × 171,050
  4. Step 4: Simplify right side
    126,720x = 29,258,102,500
  5. Step 5: Solve for x
    x = 29,258,102,500/126,720
  6. Step 6: Final answer
    x = 230,887.80

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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.