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Finding the Third Proportional to 76,830 and 115,245

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Solution

The third proportional to 76,830 and 115,245 is: 172,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830 : 115,245 = 115,245 : x
  2. Step 2: Convert to fraction form
    76,830/115,245 = 115,245/x
  3. Step 3: Cross multiply
    76,830x = 115,245 × 115,245
  4. Step 4: Simplify right side
    76,830x = 13,281,410,025
  5. Step 5: Solve for x
    x = 13,281,410,025/76,830
  6. Step 6: Final answer
    x = 172,867.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.