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Finding the Third Proportional to 303,211.50 and 505,306.50

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Solution

The third proportional to 303,211.50 and 505,306.50 is: 842,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,211.50 : 505,306.50 = 505,306.50 : x
  2. Step 2: Convert to fraction form
    303,211.50/505,306.50 = 505,306.50/x
  3. Step 3: Cross multiply
    303,211.50x = 505,306.50 × 505,306.50
  4. Step 4: Simplify right side
    303,211.50x = 255,334,658,942.25
  5. Step 5: Solve for x
    x = 255,334,658,942.25/303,211.50
  6. Step 6: Final answer
    x = 842,100.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.