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Finding the Third Proportional to 154,462 and 338,446

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Solution

The third proportional to 154,462 and 338,446 is: 741,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,462 : 338,446 = 338,446 : x
  2. Step 2: Convert to fraction form
    154,462/338,446 = 338,446/x
  3. Step 3: Cross multiply
    154,462x = 338,446 × 338,446
  4. Step 4: Simplify right side
    154,462x = 114,545,694,916
  5. Step 5: Solve for x
    x = 114,545,694,916/154,462
  6. Step 6: Final answer
    x = 741,578.48

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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.