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Finding the Third Proportional to 180,678 and 281,025

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Solution

The third proportional to 180,678 and 281,025 is: 437,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,678 : 281,025 = 281,025 : x
  2. Step 2: Convert to fraction form
    180,678/281,025 = 281,025/x
  3. Step 3: Cross multiply
    180,678x = 281,025 × 281,025
  4. Step 4: Simplify right side
    180,678x = 78,975,050,625
  5. Step 5: Solve for x
    x = 78,975,050,625/180,678
  6. Step 6: Final answer
    x = 437,103.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.