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Finding the Third Proportional to 155,541 and 321,450

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Solution

The third proportional to 155,541 and 321,450 is: 664,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,541 : 321,450 = 321,450 : x
  2. Step 2: Convert to fraction form
    155,541/321,450 = 321,450/x
  3. Step 3: Cross multiply
    155,541x = 321,450 × 321,450
  4. Step 4: Simplify right side
    155,541x = 103,330,102,500
  5. Step 5: Solve for x
    x = 103,330,102,500/155,541
  6. Step 6: Final answer
    x = 664,327.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.