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Finding the Third Proportional to 178,247.25 and 387,234

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Solution

The third proportional to 178,247.25 and 387,234 is: 841,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,247.25 : 387,234 = 387,234 : x
  2. Step 2: Convert to fraction form
    178,247.25/387,234 = 387,234/x
  3. Step 3: Cross multiply
    178,247.25x = 387,234 × 387,234
  4. Step 4: Simplify right side
    178,247.25x = 149,950,170,756
  5. Step 5: Solve for x
    x = 149,950,170,756/178,247.25
  6. Step 6: Final answer
    x = 841,248.16

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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.