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Finding the Third Proportional to 378,243 and 585,684

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Solution

The third proportional to 378,243 and 585,684 is: 906,892.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,243 : 585,684 = 585,684 : x
  2. Step 2: Convert to fraction form
    378,243/585,684 = 585,684/x
  3. Step 3: Cross multiply
    378,243x = 585,684 × 585,684
  4. Step 4: Simplify right side
    378,243x = 343,025,747,856
  5. Step 5: Solve for x
    x = 343,025,747,856/378,243
  6. Step 6: Final answer
    x = 906,892.52

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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.