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Finding the Third Proportional to 339,643 and 726,844

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Solution

The third proportional to 339,643 and 726,844 is: 1,555,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,643 : 726,844 = 726,844 : x
  2. Step 2: Convert to fraction form
    339,643/726,844 = 726,844/x
  3. Step 3: Cross multiply
    339,643x = 726,844 × 726,844
  4. Step 4: Simplify right side
    339,643x = 528,302,200,336
  5. Step 5: Solve for x
    x = 528,302,200,336/339,643
  6. Step 6: Final answer
    x = 1,555,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.