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Finding the Third Proportional to 82,080 and 180,360

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Solution

The third proportional to 82,080 and 180,360 is: 396,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080 : 180,360 = 180,360 : x
  2. Step 2: Convert to fraction form
    82,080/180,360 = 180,360/x
  3. Step 3: Cross multiply
    82,080x = 180,360 × 180,360
  4. Step 4: Simplify right side
    82,080x = 32,529,729,600
  5. Step 5: Solve for x
    x = 32,529,729,600/82,080
  6. Step 6: Final answer
    x = 396,317.37

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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.