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Finding the Third Proportional to 76,830 and 167,670

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Solution

The third proportional to 76,830 and 167,670 is: 365,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830 : 167,670 = 167,670 : x
  2. Step 2: Convert to fraction form
    76,830/167,670 = 167,670/x
  3. Step 3: Cross multiply
    76,830x = 167,670 × 167,670
  4. Step 4: Simplify right side
    76,830x = 28,113,228,900
  5. Step 5: Solve for x
    x = 28,113,228,900/76,830
  6. Step 6: Final answer
    x = 365,914.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.