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Finding the Third Proportional to 178,234 and 371,212

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Solution

The third proportional to 178,234 and 371,212 is: 773,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,234 : 371,212 = 371,212 : x
  2. Step 2: Convert to fraction form
    178,234/371,212 = 371,212/x
  3. Step 3: Cross multiply
    178,234x = 371,212 × 371,212
  4. Step 4: Simplify right side
    178,234x = 137,798,348,944
  5. Step 5: Solve for x
    x = 137,798,348,944/178,234
  6. Step 6: Final answer
    x = 773,131.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.