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Finding the Third Proportional to 77,778 and 171,108

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Solution

The third proportional to 77,778 and 171,108 is: 376,429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,778 : 171,108 = 171,108 : x
  2. Step 2: Convert to fraction form
    77,778/171,108 = 171,108/x
  3. Step 3: Cross multiply
    77,778x = 171,108 × 171,108
  4. Step 4: Simplify right side
    77,778x = 29,277,947,664
  5. Step 5: Solve for x
    x = 29,277,947,664/77,778
  6. Step 6: Final answer
    x = 376,429.68

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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.