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Finding the Third Proportional to 76,716 and 158,760

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Solution

The third proportional to 76,716 and 158,760 is: 328,546.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,716 : 158,760 = 158,760 : x
  2. Step 2: Convert to fraction form
    76,716/158,760 = 158,760/x
  3. Step 3: Cross multiply
    76,716x = 158,760 × 158,760
  4. Step 4: Simplify right side
    76,716x = 25,204,737,600
  5. Step 5: Solve for x
    x = 25,204,737,600/76,716
  6. Step 6: Final answer
    x = 328,546.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.