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Finding the Third Proportional to 217,865.50 and 313,790.50

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Solution

The third proportional to 217,865.50 and 313,790.50 is: 451,950.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,865.50 : 313,790.50 = 313,790.50 : x
  2. Step 2: Convert to fraction form
    217,865.50/313,790.50 = 313,790.50/x
  3. Step 3: Cross multiply
    217,865.50x = 313,790.50 × 313,790.50
  4. Step 4: Simplify right side
    217,865.50x = 98,464,477,890.25
  5. Step 5: Solve for x
    x = 98,464,477,890.25/217,865.50
  6. Step 6: Final answer
    x = 451,950.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.