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Finding the Third Proportional to 178,857 and 388,775

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Solution

The third proportional to 178,857 and 388,775 is: 845,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857 : 388,775 = 388,775 : x
  2. Step 2: Convert to fraction form
    178,857/388,775 = 388,775/x
  3. Step 3: Cross multiply
    178,857x = 388,775 × 388,775
  4. Step 4: Simplify right side
    178,857x = 151,146,000,625
  5. Step 5: Solve for x
    x = 151,146,000,625/178,857
  6. Step 6: Final answer
    x = 845,066.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.