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Finding the Third Proportional to 323,578 and 489,895

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Solution

The third proportional to 323,578 and 489,895 is: 741,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,578 : 489,895 = 489,895 : x
  2. Step 2: Convert to fraction form
    323,578/489,895 = 489,895/x
  3. Step 3: Cross multiply
    323,578x = 489,895 × 489,895
  4. Step 4: Simplify right side
    323,578x = 239,997,111,025
  5. Step 5: Solve for x
    x = 239,997,111,025/323,578
  6. Step 6: Final answer
    x = 741,697.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.