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Finding the Third Proportional to 387,774 and 579,345

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Solution

The third proportional to 387,774 and 579,345 is: 865,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,774 : 579,345 = 579,345 : x
  2. Step 2: Convert to fraction form
    387,774/579,345 = 579,345/x
  3. Step 3: Cross multiply
    387,774x = 579,345 × 579,345
  4. Step 4: Simplify right side
    387,774x = 335,640,629,025
  5. Step 5: Solve for x
    x = 335,640,629,025/387,774
  6. Step 6: Final answer
    x = 865,557.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.