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Finding the Third Proportional to 356,209 and 726,949

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Solution

The third proportional to 356,209 and 726,949 is: 1,483,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,209 : 726,949 = 726,949 : x
  2. Step 2: Convert to fraction form
    356,209/726,949 = 726,949/x
  3. Step 3: Cross multiply
    356,209x = 726,949 × 726,949
  4. Step 4: Simplify right side
    356,209x = 528,454,848,601
  5. Step 5: Solve for x
    x = 528,454,848,601/356,209
  6. Step 6: Final answer
    x = 1,483,552.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.