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Finding the Third Proportional to 355,336.50 and 777,099.75

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Solution

The third proportional to 355,336.50 and 777,099.75 is: 1,699,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,336.50 : 777,099.75 = 777,099.75 : x
  2. Step 2: Convert to fraction form
    355,336.50/777,099.75 = 777,099.75/x
  3. Step 3: Cross multiply
    355,336.50x = 777,099.75 × 777,099.75
  4. Step 4: Simplify right side
    355,336.50x = 603,884,021,450.06
  5. Step 5: Solve for x
    x = 603,884,021,450.06/355,336.50
  6. Step 6: Final answer
    x = 1,699,470.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.