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Finding the Third Proportional to 81,999 and 180,142.50

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Solution

The third proportional to 81,999 and 180,142.50 is: 395,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,999 : 180,142.50 = 180,142.50 : x
  2. Step 2: Convert to fraction form
    81,999/180,142.50 = 180,142.50/x
  3. Step 3: Cross multiply
    81,999x = 180,142.50 × 180,142.50
  4. Step 4: Simplify right side
    81,999x = 32,451,320,306.25
  5. Step 5: Solve for x
    x = 32,451,320,306.25/81,999
  6. Step 6: Final answer
    x = 395,752.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.