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Finding the Third Proportional to 319,318.88 and 479,025.56

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Solution

The third proportional to 319,318.88 and 479,025.56 is: 718,609.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,318.88 : 479,025.56 = 479,025.56 : x
  2. Step 2: Convert to fraction form
    319,318.88/479,025.56 = 479,025.56/x
  3. Step 3: Cross multiply
    319,318.88x = 479,025.56 × 479,025.56
  4. Step 4: Simplify right side
    319,318.88x = 229,465,489,528.44
  5. Step 5: Solve for x
    x = 229,465,489,528.44/319,318.88
  6. Step 6: Final answer
    x = 718,609.23

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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.