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Finding the Third Proportional to 76,796 and 157,419

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Solution

The third proportional to 76,796 and 157,419 is: 322,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,796 : 157,419 = 157,419 : x
  2. Step 2: Convert to fraction form
    76,796/157,419 = 157,419/x
  3. Step 3: Cross multiply
    76,796x = 157,419 × 157,419
  4. Step 4: Simplify right side
    76,796x = 24,780,741,561
  5. Step 5: Solve for x
    x = 24,780,741,561/76,796
  6. Step 6: Final answer
    x = 322,682.71

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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.