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Finding the Third Proportional to 76,923 and 157,680

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Solution

The third proportional to 76,923 and 157,680 is: 323,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,923 : 157,680 = 157,680 : x
  2. Step 2: Convert to fraction form
    76,923/157,680 = 157,680/x
  3. Step 3: Cross multiply
    76,923x = 157,680 × 157,680
  4. Step 4: Simplify right side
    76,923x = 24,862,982,400
  5. Step 5: Solve for x
    x = 24,862,982,400/76,923
  6. Step 6: Final answer
    x = 323,219.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.