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Finding the Third Proportional to 327,706 and 489,507

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Solution

The third proportional to 327,706 and 489,507 is: 731,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,706 : 489,507 = 489,507 : x
  2. Step 2: Convert to fraction form
    327,706/489,507 = 489,507/x
  3. Step 3: Cross multiply
    327,706x = 489,507 × 489,507
  4. Step 4: Simplify right side
    327,706x = 239,617,103,049
  5. Step 5: Solve for x
    x = 239,617,103,049/327,706
  6. Step 6: Final answer
    x = 731,195.35

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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.