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Finding the Third Proportional to 128,304 and 277,344

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Solution

The third proportional to 128,304 and 277,344 is: 599,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,304 : 277,344 = 277,344 : x
  2. Step 2: Convert to fraction form
    128,304/277,344 = 277,344/x
  3. Step 3: Cross multiply
    128,304x = 277,344 × 277,344
  4. Step 4: Simplify right side
    128,304x = 76,919,694,336
  5. Step 5: Solve for x
    x = 76,919,694,336/128,304
  6. Step 6: Final answer
    x = 599,511.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.