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Finding the Third Proportional to 80,318 and 169,678

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Solution

The third proportional to 80,318 and 169,678 is: 358,457.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,318 : 169,678 = 169,678 : x
  2. Step 2: Convert to fraction form
    80,318/169,678 = 169,678/x
  3. Step 3: Cross multiply
    80,318x = 169,678 × 169,678
  4. Step 4: Simplify right side
    80,318x = 28,790,623,684
  5. Step 5: Solve for x
    x = 28,790,623,684/80,318
  6. Step 6: Final answer
    x = 358,457.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.