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Finding the Third Proportional to 100,138.78 and 133,763.91

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Solution

The third proportional to 100,138.78 and 133,763.91 is: 178,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,138.78 : 133,763.91 = 133,763.91 : x
  2. Step 2: Convert to fraction form
    100,138.78/133,763.91 = 133,763.91/x
  3. Step 3: Cross multiply
    100,138.78x = 133,763.91 × 133,763.91
  4. Step 4: Simplify right side
    100,138.78x = 17,892,782,615.26
  5. Step 5: Solve for x
    x = 17,892,782,615.26/100,138.78
  6. Step 6: Final answer
    x = 178,679.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.