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Finding the Third Proportional to 300,996 and 409,254.75

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Solution

The third proportional to 300,996 and 409,254.75 is: 556,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,996 : 409,254.75 = 409,254.75 : x
  2. Step 2: Convert to fraction form
    300,996/409,254.75 = 409,254.75/x
  3. Step 3: Cross multiply
    300,996x = 409,254.75 × 409,254.75
  4. Step 4: Simplify right side
    300,996x = 167,489,450,397.56
  5. Step 5: Solve for x
    x = 167,489,450,397.56/300,996
  6. Step 6: Final answer
    x = 556,450.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.