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Finding the Third Proportional to 323,584 and 489,904

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Solution

The third proportional to 323,584 and 489,904 is: 741,711.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,584 : 489,904 = 489,904 : x
  2. Step 2: Convert to fraction form
    323,584/489,904 = 489,904/x
  3. Step 3: Cross multiply
    323,584x = 489,904 × 489,904
  4. Step 4: Simplify right side
    323,584x = 240,005,929,216
  5. Step 5: Solve for x
    x = 240,005,929,216/323,584
  6. Step 6: Final answer
    x = 741,711.36

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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.