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Finding the Third Proportional to 76,962 and 115,665

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Solution

The third proportional to 76,962 and 115,665 is: 173,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,962 : 115,665 = 115,665 : x
  2. Step 2: Convert to fraction form
    76,962/115,665 = 115,665/x
  3. Step 3: Cross multiply
    76,962x = 115,665 × 115,665
  4. Step 4: Simplify right side
    76,962x = 13,378,392,225
  5. Step 5: Solve for x
    x = 13,378,392,225/76,962
  6. Step 6: Final answer
    x = 173,831.14

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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.