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Finding the Third Proportional to 323,490 and 489,735

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Solution

The third proportional to 323,490 and 489,735 is: 741,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,490 : 489,735 = 489,735 : x
  2. Step 2: Convert to fraction form
    323,490/489,735 = 489,735/x
  3. Step 3: Cross multiply
    323,490x = 489,735 × 489,735
  4. Step 4: Simplify right side
    323,490x = 239,840,370,225
  5. Step 5: Solve for x
    x = 239,840,370,225/323,490
  6. Step 6: Final answer
    x = 741,415.10

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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.