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Finding the Third Proportional to 378,283 and 585,698

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Solution

The third proportional to 378,283 and 585,698 is: 906,839.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,283 : 585,698 = 585,698 : x
  2. Step 2: Convert to fraction form
    378,283/585,698 = 585,698/x
  3. Step 3: Cross multiply
    378,283x = 585,698 × 585,698
  4. Step 4: Simplify right side
    378,283x = 343,042,147,204
  5. Step 5: Solve for x
    x = 343,042,147,204/378,283
  6. Step 6: Final answer
    x = 906,839.98

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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.