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Finding the Third Proportional to 82,242 and 177,288

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Solution

The third proportional to 82,242 and 177,288 is: 382,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,242 : 177,288 = 177,288 : x
  2. Step 2: Convert to fraction form
    82,242/177,288 = 177,288/x
  3. Step 3: Cross multiply
    82,242x = 177,288 × 177,288
  4. Step 4: Simplify right side
    82,242x = 31,431,034,944
  5. Step 5: Solve for x
    x = 31,431,034,944/82,242
  6. Step 6: Final answer
    x = 382,177.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.