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Finding the Third Proportional to 178,212 and 385,512

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Solution

The third proportional to 178,212 and 385,512 is: 833,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,212 : 385,512 = 385,512 : x
  2. Step 2: Convert to fraction form
    178,212/385,512 = 385,512/x
  3. Step 3: Cross multiply
    178,212x = 385,512 × 385,512
  4. Step 4: Simplify right side
    178,212x = 148,619,502,144
  5. Step 5: Solve for x
    x = 148,619,502,144/178,212
  6. Step 6: Final answer
    x = 833,947.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.