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Finding the Third Proportional to 81,432 and 180,360

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Solution

The third proportional to 81,432 and 180,360 is: 399,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,432 : 180,360 = 180,360 : x
  2. Step 2: Convert to fraction form
    81,432/180,360 = 180,360/x
  3. Step 3: Cross multiply
    81,432x = 180,360 × 180,360
  4. Step 4: Simplify right side
    81,432x = 32,529,729,600
  5. Step 5: Solve for x
    x = 32,529,729,600/81,432
  6. Step 6: Final answer
    x = 399,471.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.