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Finding the Third Proportional to 128,976 and 172,015

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Solution

The third proportional to 128,976 and 172,015 is: 229,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,976 : 172,015 = 172,015 : x
  2. Step 2: Convert to fraction form
    128,976/172,015 = 172,015/x
  3. Step 3: Cross multiply
    128,976x = 172,015 × 172,015
  4. Step 4: Simplify right side
    128,976x = 29,589,160,225
  5. Step 5: Solve for x
    x = 29,589,160,225/128,976
  6. Step 6: Final answer
    x = 229,416.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.