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Finding the Third Proportional to 260,856 and 396,765

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Solution

The third proportional to 260,856 and 396,765 is: 603,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,856 : 396,765 = 396,765 : x
  2. Step 2: Convert to fraction form
    260,856/396,765 = 396,765/x
  3. Step 3: Cross multiply
    260,856x = 396,765 × 396,765
  4. Step 4: Simplify right side
    260,856x = 157,422,465,225
  5. Step 5: Solve for x
    x = 157,422,465,225/260,856
  6. Step 6: Final answer
    x = 603,484.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.