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Finding the Third Proportional to 180,284 and 261,130

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Solution

The third proportional to 180,284 and 261,130 is: 378,230.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,284 : 261,130 = 261,130 : x
  2. Step 2: Convert to fraction form
    180,284/261,130 = 261,130/x
  3. Step 3: Cross multiply
    180,284x = 261,130 × 261,130
  4. Step 4: Simplify right side
    180,284x = 68,188,876,900
  5. Step 5: Solve for x
    x = 68,188,876,900/180,284
  6. Step 6: Final answer
    x = 378,230.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.