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Finding the Third Proportional to 75,034.50 and 177,121.88

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Solution

The third proportional to 75,034.50 and 177,121.88 is: 418,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,034.50 : 177,121.88 = 177,121.88 : x
  2. Step 2: Convert to fraction form
    75,034.50/177,121.88 = 177,121.88/x
  3. Step 3: Cross multiply
    75,034.50x = 177,121.88 × 177,121.88
  4. Step 4: Simplify right side
    75,034.50x = 31,372,158,603.52
  5. Step 5: Solve for x
    x = 31,372,158,603.52/75,034.50
  6. Step 6: Final answer
    x = 418,103.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.