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Finding the Third Proportional to 178,704 and 277,857

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Solution

The third proportional to 178,704 and 277,857 is: 432,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,704 : 277,857 = 277,857 : x
  2. Step 2: Convert to fraction form
    178,704/277,857 = 277,857/x
  3. Step 3: Cross multiply
    178,704x = 277,857 × 277,857
  4. Step 4: Simplify right side
    178,704x = 77,204,512,449
  5. Step 5: Solve for x
    x = 77,204,512,449/178,704
  6. Step 6: Final answer
    x = 432,024.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.