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Finding the Third Proportional to 76,189 and 116,218

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Solution

The third proportional to 76,189 and 116,218 is: 177,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,189 : 116,218 = 116,218 : x
  2. Step 2: Convert to fraction form
    76,189/116,218 = 116,218/x
  3. Step 3: Cross multiply
    76,189x = 116,218 × 116,218
  4. Step 4: Simplify right side
    76,189x = 13,506,623,524
  5. Step 5: Solve for x
    x = 13,506,623,524/76,189
  6. Step 6: Final answer
    x = 177,277.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.