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Finding the Third Proportional to 378,858 and 588,207

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Solution

The third proportional to 378,858 and 588,207 is: 913,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,858 : 588,207 = 588,207 : x
  2. Step 2: Convert to fraction form
    378,858/588,207 = 588,207/x
  3. Step 3: Cross multiply
    378,858x = 588,207 × 588,207
  4. Step 4: Simplify right side
    378,858x = 345,987,474,849
  5. Step 5: Solve for x
    x = 345,987,474,849/378,858
  6. Step 6: Final answer
    x = 913,237.88

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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.