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Finding the Third Proportional to 180,133 and 391,977

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Solution

The third proportional to 180,133 and 391,977 is: 852,958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,133 : 391,977 = 391,977 : x
  2. Step 2: Convert to fraction form
    180,133/391,977 = 391,977/x
  3. Step 3: Cross multiply
    180,133x = 391,977 × 391,977
  4. Step 4: Simplify right side
    180,133x = 153,645,968,529
  5. Step 5: Solve for x
    x = 153,645,968,529/180,133
  6. Step 6: Final answer
    x = 852,958.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.