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Finding the Third Proportional to 270,795 and 421,183

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Solution

The third proportional to 270,795 and 421,183 is: 655,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,795 : 421,183 = 421,183 : x
  2. Step 2: Convert to fraction form
    270,795/421,183 = 421,183/x
  3. Step 3: Cross multiply
    270,795x = 421,183 × 421,183
  4. Step 4: Simplify right side
    270,795x = 177,395,119,489
  5. Step 5: Solve for x
    x = 177,395,119,489/270,795
  6. Step 6: Final answer
    x = 655,090.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.