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Finding the Third Proportional to 100,156.50 and 133,782.75

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Solution

The third proportional to 100,156.50 and 133,782.75 is: 178,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,156.50 : 133,782.75 = 133,782.75 : x
  2. Step 2: Convert to fraction form
    100,156.50/133,782.75 = 133,782.75/x
  3. Step 3: Cross multiply
    100,156.50x = 133,782.75 × 133,782.75
  4. Step 4: Simplify right side
    100,156.50x = 17,897,824,197.56
  5. Step 5: Solve for x
    x = 17,897,824,197.56/100,156.50
  6. Step 6: Final answer
    x = 178,698.58

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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.