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Finding the Third Proportional to 82,660 and 180,728

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Solution

The third proportional to 82,660 and 180,728 is: 395,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,660 : 180,728 = 180,728 : x
  2. Step 2: Convert to fraction form
    82,660/180,728 = 180,728/x
  3. Step 3: Cross multiply
    82,660x = 180,728 × 180,728
  4. Step 4: Simplify right side
    82,660x = 32,662,609,984
  5. Step 5: Solve for x
    x = 32,662,609,984/82,660
  6. Step 6: Final answer
    x = 395,144.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.