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Finding the Third Proportional to 95,196 and 133,722

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Solution

The third proportional to 95,196 and 133,722 is: 187,839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,196 : 133,722 = 133,722 : x
  2. Step 2: Convert to fraction form
    95,196/133,722 = 133,722/x
  3. Step 3: Cross multiply
    95,196x = 133,722 × 133,722
  4. Step 4: Simplify right side
    95,196x = 17,881,573,284
  5. Step 5: Solve for x
    x = 17,881,573,284/95,196
  6. Step 6: Final answer
    x = 187,839.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.