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Finding the Third Proportional to 336,195 and 728,388

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Solution

The third proportional to 336,195 and 728,388 is: 1,578,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,195 : 728,388 = 728,388 : x
  2. Step 2: Convert to fraction form
    336,195/728,388 = 728,388/x
  3. Step 3: Cross multiply
    336,195x = 728,388 × 728,388
  4. Step 4: Simplify right side
    336,195x = 530,549,078,544
  5. Step 5: Solve for x
    x = 530,549,078,544/336,195
  6. Step 6: Final answer
    x = 1,578,099.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.