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Finding the Third Proportional to 180,508.50 and 395,280

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Solution

The third proportional to 180,508.50 and 395,280 is: 865,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,508.50 : 395,280 = 395,280 : x
  2. Step 2: Convert to fraction form
    180,508.50/395,280 = 395,280/x
  3. Step 3: Cross multiply
    180,508.50x = 395,280 × 395,280
  4. Step 4: Simplify right side
    180,508.50x = 156,246,278,400
  5. Step 5: Solve for x
    x = 156,246,278,400/180,508.50
  6. Step 6: Final answer
    x = 865,589.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.