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Finding the Third Proportional to 33,930 and 78,810.75

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Solution

The third proportional to 33,930 and 78,810.75 is: 183,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,930 : 78,810.75 = 78,810.75 : x
  2. Step 2: Convert to fraction form
    33,930/78,810.75 = 78,810.75/x
  3. Step 3: Cross multiply
    33,930x = 78,810.75 × 78,810.75
  4. Step 4: Simplify right side
    33,930x = 6,211,134,315.56
  5. Step 5: Solve for x
    x = 6,211,134,315.56/33,930
  6. Step 6: Final answer
    x = 183,057.30

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.