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Finding the Third Proportional to 80,306 and 172,945

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Solution

The third proportional to 80,306 and 172,945 is: 372,450.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,306 : 172,945 = 172,945 : x
  2. Step 2: Convert to fraction form
    80,306/172,945 = 172,945/x
  3. Step 3: Cross multiply
    80,306x = 172,945 × 172,945
  4. Step 4: Simplify right side
    80,306x = 29,909,973,025
  5. Step 5: Solve for x
    x = 29,909,973,025/80,306
  6. Step 6: Final answer
    x = 372,450.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.