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Finding the Third Proportional to 77,920 and 171,392

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Solution

The third proportional to 77,920 and 171,392 is: 376,992.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920 : 171,392 = 171,392 : x
  2. Step 2: Convert to fraction form
    77,920/171,392 = 171,392/x
  3. Step 3: Cross multiply
    77,920x = 171,392 × 171,392
  4. Step 4: Simplify right side
    77,920x = 29,375,217,664
  5. Step 5: Solve for x
    x = 29,375,217,664/77,920
  6. Step 6: Final answer
    x = 376,992.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.