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Finding the Third Proportional to 255,767 and 401,241

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Solution

The third proportional to 255,767 and 401,241 is: 629,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,767 : 401,241 = 401,241 : x
  2. Step 2: Convert to fraction form
    255,767/401,241 = 401,241/x
  3. Step 3: Cross multiply
    255,767x = 401,241 × 401,241
  4. Step 4: Simplify right side
    255,767x = 160,994,340,081
  5. Step 5: Solve for x
    x = 160,994,340,081/255,767
  6. Step 6: Final answer
    x = 629,457.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.