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Finding the Third Proportional to 180,330 and 385,676

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Solution

The third proportional to 180,330 and 385,676 is: 824,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,330 : 385,676 = 385,676 : x
  2. Step 2: Convert to fraction form
    180,330/385,676 = 385,676/x
  3. Step 3: Cross multiply
    180,330x = 385,676 × 385,676
  4. Step 4: Simplify right side
    180,330x = 148,745,976,976
  5. Step 5: Solve for x
    x = 148,745,976,976/180,330
  6. Step 6: Final answer
    x = 824,854.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.