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Finding the Third Proportional to 263,796.75 and 409,080.38

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Solution

The third proportional to 263,796.75 and 409,080.38 is: 634,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,796.75 : 409,080.38 = 409,080.38 : x
  2. Step 2: Convert to fraction form
    263,796.75/409,080.38 = 409,080.38/x
  3. Step 3: Cross multiply
    263,796.75x = 409,080.38 × 409,080.38
  4. Step 4: Simplify right side
    263,796.75x = 167,346,753,210.14
  5. Step 5: Solve for x
    x = 167,346,753,210.14/263,796.75
  6. Step 6: Final answer
    x = 634,377.62

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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.