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Finding the Third Proportional to 180,648 and 275,685.75

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Solution

The third proportional to 180,648 and 275,685.75 is: 420,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,648 : 275,685.75 = 275,685.75 : x
  2. Step 2: Convert to fraction form
    180,648/275,685.75 = 275,685.75/x
  3. Step 3: Cross multiply
    180,648x = 275,685.75 × 275,685.75
  4. Step 4: Simplify right side
    180,648x = 76,002,632,753.06
  5. Step 5: Solve for x
    x = 76,002,632,753.06/180,648
  6. Step 6: Final answer
    x = 420,722.25

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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.