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Finding the Third Proportional to 180,329 and 391,762

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Solution

The third proportional to 180,329 and 391,762 is: 851,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,329 : 391,762 = 391,762 : x
  2. Step 2: Convert to fraction form
    180,329/391,762 = 391,762/x
  3. Step 3: Cross multiply
    180,329x = 391,762 × 391,762
  4. Step 4: Simplify right side
    180,329x = 153,477,464,644
  5. Step 5: Solve for x
    x = 153,477,464,644/180,329
  6. Step 6: Final answer
    x = 851,096.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.