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Finding the Third Proportional to 74,736 and 174,636

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Solution

The third proportional to 74,736 and 174,636 is: 408,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,736 : 174,636 = 174,636 : x
  2. Step 2: Convert to fraction form
    74,736/174,636 = 174,636/x
  3. Step 3: Cross multiply
    74,736x = 174,636 × 174,636
  4. Step 4: Simplify right side
    74,736x = 30,497,732,496
  5. Step 5: Solve for x
    x = 30,497,732,496/74,736
  6. Step 6: Final answer
    x = 408,072.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.