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Finding the Third Proportional to 43,678 and 93,075

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Solution

The third proportional to 43,678 and 93,075 is: 198,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678 : 93,075 = 93,075 : x
  2. Step 2: Convert to fraction form
    43,678/93,075 = 93,075/x
  3. Step 3: Cross multiply
    43,678x = 93,075 × 93,075
  4. Step 4: Simplify right side
    43,678x = 8,662,955,625
  5. Step 5: Solve for x
    x = 8,662,955,625/43,678
  6. Step 6: Final answer
    x = 198,336.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.