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Finding the Third Proportional to 255,561.75 and 396,847.69

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Solution

The third proportional to 255,561.75 and 396,847.69 is: 616,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,561.75 : 396,847.69 = 396,847.69 : x
  2. Step 2: Convert to fraction form
    255,561.75/396,847.69 = 396,847.69/x
  3. Step 3: Cross multiply
    255,561.75x = 396,847.69 × 396,847.69
  4. Step 4: Simplify right side
    255,561.75x = 157,488,087,074.10
  5. Step 5: Solve for x
    x = 157,488,087,074.10/255,561.75
  6. Step 6: Final answer
    x = 616,242.79

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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.