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Finding the Third Proportional to 319,450 and 479,184

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Solution

The third proportional to 319,450 and 479,184 is: 718,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,450 : 479,184 = 479,184 : x
  2. Step 2: Convert to fraction form
    319,450/479,184 = 479,184/x
  3. Step 3: Cross multiply
    319,450x = 479,184 × 479,184
  4. Step 4: Simplify right side
    319,450x = 229,617,305,856
  5. Step 5: Solve for x
    x = 229,617,305,856/319,450
  6. Step 6: Final answer
    x = 718,789.50

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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.