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Finding the Third Proportional to 154,880 and 339,272

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Solution

The third proportional to 154,880 and 339,272 is: 743,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,880 : 339,272 = 339,272 : x
  2. Step 2: Convert to fraction form
    154,880/339,272 = 339,272/x
  3. Step 3: Cross multiply
    154,880x = 339,272 × 339,272
  4. Step 4: Simplify right side
    154,880x = 115,105,489,984
  5. Step 5: Solve for x
    x = 115,105,489,984/154,880
  6. Step 6: Final answer
    x = 743,191.44

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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.