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Finding the Third Proportional to 319,321.50 and 479,029.50

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Solution

The third proportional to 319,321.50 and 479,029.50 is: 718,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,321.50 : 479,029.50 = 479,029.50 : x
  2. Step 2: Convert to fraction form
    319,321.50/479,029.50 = 479,029.50/x
  3. Step 3: Cross multiply
    319,321.50x = 479,029.50 × 479,029.50
  4. Step 4: Simplify right side
    319,321.50x = 229,469,261,870.25
  5. Step 5: Solve for x
    x = 229,469,261,870.25/319,321.50
  6. Step 6: Final answer
    x = 718,615.13

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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.