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Finding the Third Proportional to 336,690 and 738,809

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Solution

The third proportional to 336,690 and 738,809 is: 1,621,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,690 : 738,809 = 738,809 : x
  2. Step 2: Convert to fraction form
    336,690/738,809 = 738,809/x
  3. Step 3: Cross multiply
    336,690x = 738,809 × 738,809
  4. Step 4: Simplify right side
    336,690x = 545,838,738,481
  5. Step 5: Solve for x
    x = 545,838,738,481/336,690
  6. Step 6: Final answer
    x = 1,621,190.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.