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Finding the Third Proportional to 305,496 and 669,744

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Solution

The third proportional to 305,496 and 669,744 is: 1,468,290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,496 : 669,744 = 669,744 : x
  2. Step 2: Convert to fraction form
    305,496/669,744 = 669,744/x
  3. Step 3: Cross multiply
    305,496x = 669,744 × 669,744
  4. Step 4: Simplify right side
    305,496x = 448,557,025,536
  5. Step 5: Solve for x
    x = 448,557,025,536/305,496
  6. Step 6: Final answer
    x = 1,468,290.99

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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.