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Finding the Third Proportional to 81,136 and 178,256

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Solution

The third proportional to 81,136 and 178,256 is: 391,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,136 : 178,256 = 178,256 : x
  2. Step 2: Convert to fraction form
    81,136/178,256 = 178,256/x
  3. Step 3: Cross multiply
    81,136x = 178,256 × 178,256
  4. Step 4: Simplify right side
    81,136x = 31,775,201,536
  5. Step 5: Solve for x
    x = 31,775,201,536/81,136
  6. Step 6: Final answer
    x = 391,628.89

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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.