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Finding the Third Proportional to 80,777 and 115,627

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Solution

The third proportional to 80,777 and 115,627 is: 165,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,777 : 115,627 = 115,627 : x
  2. Step 2: Convert to fraction form
    80,777/115,627 = 115,627/x
  3. Step 3: Cross multiply
    80,777x = 115,627 × 115,627
  4. Step 4: Simplify right side
    80,777x = 13,369,603,129
  5. Step 5: Solve for x
    x = 13,369,603,129/80,777
  6. Step 6: Final answer
    x = 165,512.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.