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Finding the Third Proportional to 356,208 and 726,948

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Solution

The third proportional to 356,208 and 726,948 is: 1,483,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,208 : 726,948 = 726,948 : x
  2. Step 2: Convert to fraction form
    356,208/726,948 = 726,948/x
  3. Step 3: Cross multiply
    356,208x = 726,948 × 726,948
  4. Step 4: Simplify right side
    356,208x = 528,453,394,704
  5. Step 5: Solve for x
    x = 528,453,394,704/356,208
  6. Step 6: Final answer
    x = 1,483,552.85

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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.