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Finding the Third Proportional to 76,912 and 116,812

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Solution

The third proportional to 76,912 and 116,812 is: 177,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,912 : 116,812 = 116,812 : x
  2. Step 2: Convert to fraction form
    76,912/116,812 = 116,812/x
  3. Step 3: Cross multiply
    76,912x = 116,812 × 116,812
  4. Step 4: Simplify right side
    76,912x = 13,645,043,344
  5. Step 5: Solve for x
    x = 13,645,043,344/76,912
  6. Step 6: Final answer
    x = 177,411.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.