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Finding the Third Proportional to 80,129 and 172,951

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Solution

The third proportional to 80,129 and 172,951 is: 373,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,129 : 172,951 = 172,951 : x
  2. Step 2: Convert to fraction form
    80,129/172,951 = 172,951/x
  3. Step 3: Cross multiply
    80,129x = 172,951 × 172,951
  4. Step 4: Simplify right side
    80,129x = 29,912,048,401
  5. Step 5: Solve for x
    x = 29,912,048,401/80,129
  6. Step 6: Final answer
    x = 373,298.66

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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.