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Finding the Third Proportional to 212,872.13 and 320,196.75

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Solution

The third proportional to 212,872.13 and 320,196.75 is: 481,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.13 : 320,196.75 = 320,196.75 : x
  2. Step 2: Convert to fraction form
    212,872.13/320,196.75 = 320,196.75/x
  3. Step 3: Cross multiply
    212,872.13x = 320,196.75 × 320,196.75
  4. Step 4: Simplify right side
    212,872.13x = 102,525,958,710.56
  5. Step 5: Solve for x
    x = 102,525,958,710.56/212,872.13
  6. Step 6: Final answer
    x = 481,631.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.