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Finding the Third Proportional to 206,930.50 and 320,540.50

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Solution

The third proportional to 206,930.50 and 320,540.50 is: 496,525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,930.50 : 320,540.50 = 320,540.50 : x
  2. Step 2: Convert to fraction form
    206,930.50/320,540.50 = 320,540.50/x
  3. Step 3: Cross multiply
    206,930.50x = 320,540.50 × 320,540.50
  4. Step 4: Simplify right side
    206,930.50x = 102,746,212,140.25
  5. Step 5: Solve for x
    x = 102,746,212,140.25/206,930.50
  6. Step 6: Final answer
    x = 496,525.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.