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Finding the Third Proportional to 368,387 and 550,305

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Solution

The third proportional to 368,387 and 550,305 is: 822,058.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,387 : 550,305 = 550,305 : x
  2. Step 2: Convert to fraction form
    368,387/550,305 = 550,305/x
  3. Step 3: Cross multiply
    368,387x = 550,305 × 550,305
  4. Step 4: Simplify right side
    368,387x = 302,835,593,025
  5. Step 5: Solve for x
    x = 302,835,593,025/368,387
  6. Step 6: Final answer
    x = 822,058.31

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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.