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Finding the Third Proportional to 349,668 and 728,856

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Solution

The third proportional to 349,668 and 728,856 is: 1,519,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,668 : 728,856 = 728,856 : x
  2. Step 2: Convert to fraction form
    349,668/728,856 = 728,856/x
  3. Step 3: Cross multiply
    349,668x = 728,856 × 728,856
  4. Step 4: Simplify right side
    349,668x = 531,231,068,736
  5. Step 5: Solve for x
    x = 531,231,068,736/349,668
  6. Step 6: Final answer
    x = 1,519,244.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.