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Finding the Third Proportional to 378,398 and 585,957

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Solution

The third proportional to 378,398 and 585,957 is: 907,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,398 : 585,957 = 585,957 : x
  2. Step 2: Convert to fraction form
    378,398/585,957 = 585,957/x
  3. Step 3: Cross multiply
    378,398x = 585,957 × 585,957
  4. Step 4: Simplify right side
    378,398x = 343,345,605,849
  5. Step 5: Solve for x
    x = 343,345,605,849/378,398
  6. Step 6: Final answer
    x = 907,366.33

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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.