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Finding the Third Proportional to 77,760 and 171,936

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Solution

The third proportional to 77,760 and 171,936 is: 380,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,760 : 171,936 = 171,936 : x
  2. Step 2: Convert to fraction form
    77,760/171,936 = 171,936/x
  3. Step 3: Cross multiply
    77,760x = 171,936 × 171,936
  4. Step 4: Simplify right side
    77,760x = 29,561,988,096
  5. Step 5: Solve for x
    x = 29,561,988,096/77,760
  6. Step 6: Final answer
    x = 380,169.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.