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Finding the Third Proportional to 80,129 and 173,110

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Solution

The third proportional to 80,129 and 173,110 is: 373,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,129 : 173,110 = 173,110 : x
  2. Step 2: Convert to fraction form
    80,129/173,110 = 173,110/x
  3. Step 3: Cross multiply
    80,129x = 173,110 × 173,110
  4. Step 4: Simplify right side
    80,129x = 29,967,072,100
  5. Step 5: Solve for x
    x = 29,967,072,100/80,129
  6. Step 6: Final answer
    x = 373,985.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.