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Finding the Third Proportional to 320,487 and 489,205.50

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Solution

The third proportional to 320,487 and 489,205.50 is: 746,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,487 : 489,205.50 = 489,205.50 : x
  2. Step 2: Convert to fraction form
    320,487/489,205.50 = 489,205.50/x
  3. Step 3: Cross multiply
    320,487x = 489,205.50 × 489,205.50
  4. Step 4: Simplify right side
    320,487x = 239,322,021,230.25
  5. Step 5: Solve for x
    x = 239,322,021,230.25/320,487
  6. Step 6: Final answer
    x = 746,744.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.