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Finding the Third Proportional to 180,636 and 275,668.50

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Solution

The third proportional to 180,636 and 275,668.50 is: 420,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,636 : 275,668.50 = 275,668.50 : x
  2. Step 2: Convert to fraction form
    180,636/275,668.50 = 275,668.50/x
  3. Step 3: Cross multiply
    180,636x = 275,668.50 × 275,668.50
  4. Step 4: Simplify right side
    180,636x = 75,993,121,892.25
  5. Step 5: Solve for x
    x = 75,993,121,892.25/180,636
  6. Step 6: Final answer
    x = 420,697.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.