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Finding the Third Proportional to 378,285 and 585,701

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Solution

The third proportional to 378,285 and 585,701 is: 906,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,285 : 585,701 = 585,701 : x
  2. Step 2: Convert to fraction form
    378,285/585,701 = 585,701/x
  3. Step 3: Cross multiply
    378,285x = 585,701 × 585,701
  4. Step 4: Simplify right side
    378,285x = 343,045,661,401
  5. Step 5: Solve for x
    x = 343,045,661,401/378,285
  6. Step 6: Final answer
    x = 906,844.47

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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.