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Finding the Third Proportional to 500,205.75 and 775,698.75

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Solution

The third proportional to 500,205.75 and 775,698.75 is: 1,202,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,205.75 : 775,698.75 = 775,698.75 : x
  2. Step 2: Convert to fraction form
    500,205.75/775,698.75 = 775,698.75/x
  3. Step 3: Cross multiply
    500,205.75x = 775,698.75 × 775,698.75
  4. Step 4: Simplify right side
    500,205.75x = 601,708,550,751.56
  5. Step 5: Solve for x
    x = 601,708,550,751.56/500,205.75
  6. Step 6: Final answer
    x = 1,202,922.10

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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.