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Finding the Third Proportional to 212,839.88 and 318,672.56

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Solution

The third proportional to 212,839.88 and 318,672.56 is: 477,129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,839.88 : 318,672.56 = 318,672.56 : x
  2. Step 2: Convert to fraction form
    212,839.88/318,672.56 = 318,672.56/x
  3. Step 3: Cross multiply
    212,839.88x = 318,672.56 × 318,672.56
  4. Step 4: Simplify right side
    212,839.88x = 101,552,202,090.32
  5. Step 5: Solve for x
    x = 101,552,202,090.32/212,839.88
  6. Step 6: Final answer
    x = 477,129.59

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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.