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Finding the Third Proportional to 212,861.25 and 320,189.63

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Solution

The third proportional to 212,861.25 and 320,189.63 is: 481,634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,861.25 : 320,189.63 = 320,189.63 : x
  2. Step 2: Convert to fraction form
    212,861.25/320,189.63 = 320,189.63/x
  3. Step 3: Cross multiply
    212,861.25x = 320,189.63 × 320,189.63
  4. Step 4: Simplify right side
    212,861.25x = 102,521,395,957.64
  5. Step 5: Solve for x
    x = 102,521,395,957.64/212,861.25
  6. Step 6: Final answer
    x = 481,634.85

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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.